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125837942148 = 22332359385429
BaseRepresentation
bin111010100110010000…
…1101001110110000100
3110000210212021210121000
41311030201221312010
54030204003122043
6133450435453300
712043244600622
oct1651441516604
9400725253530
10125837942148
11494052684a6
122047aa57230
13bb35821ac9
14613a80c512
15341777b2d3
hex1d4c869d84

125837942148 has 96 divisors (see below), whose sum is σ = 341009222400. Its totient is φ = 40054113792.

The previous prime is 125837942129. The next prime is 125837942161. The reversal of 125837942148 is 841249738521.

125837942148 is a `hidden beast` number, since 1 + 2 + 58 + 379 + 4 + 214 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 125837942094 and 125837942103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1430298 + ... + 1515726.

It is an arithmetic number, because the mean of its divisors is an integer number (3552179400).

Almost surely, 2125837942148 is an apocalyptic number.

125837942148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125837942148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170504611200).

125837942148 is an abundant number, since it is smaller than the sum of its proper divisors (215171280252).

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

125837942148 is a wasteful number, since it uses less digits than its factorization.

125837942148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86058 (or 86050 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 125837942148 in words is "one hundred twenty-five billion, eight hundred thirty-seven million, nine hundred forty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 593 621 828 1186 1242 1779 2372 2484 3558 5337 7116 10674 13639 16011 21348 27278 32022 40917 54556 64044 81834 85429 122751 163668 170858 245502 256287 341716 368253 491004 512574 736506 768861 1025148 1473012 1537722 1964867 2306583 3075444 3929734 4613166 5894601 7859468 9226332 11789202 17683803 23578404 35367606 50659397 53051409 70735212 101318794 106102818 151978191 202637588 212205636 303956382 455934573 607912764 911869146 1165166131 1367803719 1823738292 2330332262 2735607438 3495498393 4660664524 5471214876 6990996786 10486495179 13981993572 20972990358 31459485537 41945980716 62918971074 125837942148