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135465156 = 22336797193
BaseRepresentation
bin10000001001100…
…00100011000100
3100102220100021000
420010300203010
5234134341111
621235253300
73233302101
oct1004604304
9312810230
10135465156
116a514a82
123944a230
13220b01c8
1413dc3aa8
15bd5cc56
hex81308c4

135465156 has 96 divisors (see below), whose sum is σ = 361988480. Its totient is φ = 43794432.

The previous prime is 135465149. The next prime is 135465157. The reversal of 135465156 is 651564531.

135465156 is a `hidden beast` number, since 13 + 546 + 51 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135465156.

It is not an unprimeable number, because it can be changed into a prime (135465157) 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, 701796 + ... + 701988.

Almost surely, 2135465156 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 135465156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180994240).

135465156 is an abundant number, since it is smaller than the sum of its proper divisors (226523324).

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

135465156 is a wasteful number, since it uses less digits than its factorization.

135465156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 135465156 is about 11638.9499526375. The cubic root of 135465156 is about 513.5812979040.

The spelling of 135465156 in words is "one hundred thirty-five million, four hundred sixty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 97 108 134 193 194 201 268 291 386 388 402 579 582 603 772 804 873 1158 1164 1206 1737 1746 1809 2316 2412 2619 3474 3492 3618 5211 5238 6499 6948 7236 10422 10476 12931 12998 18721 19497 20844 25862 25996 37442 38793 38994 51724 56163 58491 74884 77586 77988 112326 116379 116982 155172 168489 175473 224652 232758 233964 336978 349137 350946 465516 505467 673956 698274 701892 1010934 1254307 1396548 2021868 2508614 3762921 5017228 7525842 11288763 15051684 22577526 33866289 45155052 67732578 135465156