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135152472 = 233713193257
BaseRepresentation
bin10000000111001…
…00001101011000
3100102022110100010
420003210031120
5234044334342
621224441520
73230530350
oct1003441530
9312273303
10135152472
116a321064
12393192a0
1322000aa0
1413d41b60
15bcea29c
hex80e4358

135152472 has 128 divisors (see below), whose sum is σ = 437875200. Its totient is φ = 33758208.

The previous prime is 135152471. The next prime is 135152497. The reversal of 135152472 is 274251531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135152471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39868 + ... + 43124.

It is an arithmetic number, because the mean of its divisors is an integer number (3420900).

Almost surely, 2135152472 is an apocalyptic number.

135152472 is a gapful number since it is divisible by the number (12) 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 135152472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218937600).

135152472 is an abundant number, since it is smaller than the sum of its proper divisors (302722728).

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

135152472 is a wasteful number, since it uses less digits than its factorization.

135152472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3301 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 135152472 is about 11625.5095372203. The cubic root of 135152472 is about 513.1858398241.

The spelling of 135152472 in words is "one hundred thirty-five million, one hundred fifty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 399 456 494 532 546 728 741 798 988 1064 1092 1482 1596 1729 1976 2184 2964 3192 3257 3458 5187 5928 6514 6916 9771 10374 13028 13832 19542 20748 22799 26056 39084 41496 42341 45598 61883 68397 78168 84682 91196 123766 127023 136794 169364 182392 185649 247532 254046 273588 296387 338728 371298 433181 495064 508092 547176 592774 742596 804479 866362 889161 1016184 1185548 1299543 1485192 1608958 1732724 1778322 2371096 2413437 2599086 3217916 3465448 3556644 4826874 5198172 5631353 6435832 7113288 9653748 10396344 11262706 16894059 19307496 22525412 33788118 45050824 67576236 135152472