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136331964 = 22333493617
BaseRepresentation
bin10000010000001…
…00001010111100
3100111112101022000
420020010022330
5234400110324
621310022300
73243542166
oct1010041274
9314471260
10136331964
116aa5724a
12397a7990
1322324902
141416b936
15be7e9c9
hex82042bc

136331964 has 48 divisors (see below), whose sum is σ = 354564000. Its totient is φ = 45301248.

The previous prime is 136331957. The next prime is 136331981. The reversal of 136331964 is 469133631.

136331964 is a `hidden beast` number, since 1 + 3 + 633 + 19 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35884 + ... + 39500.

It is an arithmetic number, because the mean of its divisors is an integer number (7386750).

Almost surely, 2136331964 is an apocalyptic number.

It is an amenable number.

136331964 is an abundant number, since it is smaller than the sum of its proper divisors (218232036).

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

136331964 is a wasteful number, since it uses less digits than its factorization.

136331964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3971 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 136331964 is about 11676.1279540779. The cubic root of 136331964 is about 514.6743962510.

The spelling of 136331964 in words is "one hundred thirty-six million, three hundred thirty-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 349 698 1047 1396 2094 3141 3617 4188 6282 7234 9423 10851 12564 14468 18846 21702 32553 37692 43404 65106 97659 130212 195318 390636 1262333 2524666 3786999 5049332 7573998 11360997 15147996 22721994 34082991 45443988 68165982 136331964