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125154000348 = 223132327332069
BaseRepresentation
bin111010010001111000…
…0100111110111011100
3102222001012022221211020
41310203300213313130
54022303411002343
6133254524324140
712020301310326
oct1644360476734
9388035287736
10125154000348
1149094196943
12203099a3650
13ba56c15910
1460b3a54616
1533c76cbb83
hex1d23c27ddc

125154000348 has 144 divisors (see below), whose sum is σ = 329365118880. Its totient is φ = 36766591488.

The previous prime is 125154000343. The next prime is 125154000359. The reversal of 125154000348 is 843000451521.

It is a super-2 number, since 2×1251540003482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125154000341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60489058 + ... + 60491126.

It is an arithmetic number, because the mean of its divisors is an integer number (2287257770).

Almost surely, 2125154000348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125154000348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164682559440).

125154000348 is an abundant number, since it is smaller than the sum of its proper divisors (204211118532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125154000348 is a wasteful number, since it uses less digits than its factorization.

With its successor (125154000349) it forms an eRAP, since the sums of their prime factors are consecutive (2868 and 2869).

125154000348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 125154000348 its reverse (843000451521), we get a palindrome (968154451869).

The spelling of 125154000348 in words is "one hundred twenty-five billion, one hundred fifty-four million, three hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 529 598 733 897 1058 1196 1466 1587 1794 2069 2116 2199 2932 3174 3588 4138 4398 6207 6348 6877 8276 8796 9529 12414 13754 16859 19058 20631 24828 26897 27508 28587 33718 38116 41262 47587 50577 53794 57174 67436 80691 82524 95174 101154 107588 114348 142761 161382 190348 202308 219167 285522 322764 387757 438334 571044 618631 657501 775514 876668 1094501 1163271 1237262 1315002 1516577 1551028 1855893 2189002 2326542 2474524 2630004 3033154 3283503 3711786 4378004 4549731 4653084 5040841 6066308 6567006 7423572 9099462 10081682 13134012 14228513 15122523 18198924 19715501 20163364 28457026 30245046 34881271 39431002 42685539 56914052 59146503 60490092 69762542 78862004 85371078 104643813 118293006 139525084 170742156 209287626 236586012 418575252 453456523 802269233 906913046 1360369569 1604538466 1813826092 2406807699 2720739138 3209076932 4813615398 5441478276 9627230796 10429500029 20859000058 31288500087 41718000116 62577000174 125154000348