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154136664 = 2332111910243
BaseRepresentation
bin10010010111111…
…11000001011000
3101202000221202100
421023333001120
5303424333124
623143403400
73551066013
oct1113770130
9352027670
10154136664
117a008180
1243753560
1325c19a36
141668437a
15d7ea1c9
hex92ff058

154136664 has 96 divisors (see below), whose sum is σ = 479419200. Its totient is φ = 44245440.

The previous prime is 154136659. The next prime is 154136677. The reversal of 154136664 is 466631451.

It is a happy number.

154136664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1541366642 = 47516222378097792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9927 + ... + 20169.

It is an arithmetic number, because the mean of its divisors is an integer number (4993950).

Almost surely, 2154136664 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 154136664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239709600).

154136664 is an abundant number, since it is smaller than the sum of its proper divisors (325282536).

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

154136664 is a wasteful number, since it uses less digits than its factorization.

154136664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10285 (or 10278 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 154136664 is about 12415.1787743874. The cubic root of 154136664 is about 536.1693513286.

The spelling of 154136664 in words is "one hundred fifty-four million, one hundred thirty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3762 5016 7524 10243 15048 20486 30729 40972 61458 81944 92187 112673 122916 184374 194617 225346 245832 338019 368748 389234 450692 583851 676038 737496 778468 901384 1014057 1167702 1352076 1556936 1751553 2028114 2140787 2335404 2704152 3503106 4056228 4281574 4670808 6422361 7006212 8112456 8563148 12844722 14012424 17126296 19267083 25689444 38534166 51378888 77068332 154136664