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137183064 = 23317834051
BaseRepresentation
bin10000010110100…
…11111101011000
3100120010121210020
420023103331120
5240104324224
621340150440
73254015424
oct1013237530
9316117706
10137183064
1170488737
1239b38420
1322562115
141430db84
15c09bc79
hex82d3f58

137183064 has 64 divisors (see below), whose sum is σ = 367597440. Its totient is φ = 42508800.

The previous prime is 137183051. The next prime is 137183093. The reversal of 137183064 is 460381731.

137183064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 31839 + ... + 35889.

It is an arithmetic number, because the mean of its divisors is an integer number (5743710).

Almost surely, 2137183064 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 137183064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183798720).

137183064 is an abundant number, since it is smaller than the sum of its proper divisors (230414376).

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

137183064 is a wasteful number, since it uses less digits than its factorization.

137183064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 137183064 is about 11712.5174066039. The cubic root of 137183064 is about 515.7431869100.

The spelling of 137183064 in words is "one hundred thirty-seven million, one hundred eighty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 83 102 136 166 204 249 332 408 498 664 996 1411 1992 2822 4051 4233 5644 8102 8466 11288 12153 16204 16932 24306 32408 33864 48612 68867 97224 137734 206601 275468 336233 413202 550936 672466 826404 1008699 1344932 1652808 2017398 2689864 4034796 5715961 8069592 11431922 17147883 22863844 34295766 45727688 68591532 137183064