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137885604 = 223291013923
BaseRepresentation
bin10000011011111…
…11011110100100
3100121110022111020
420031333132210
5240244314404
621403211140
73263002563
oct1015773644
9317408436
10137885604
117091854a
123a216ab0
1322749b1c
1414453bda
15c189ed9
hex837f7a4

137885604 has 48 divisors (see below), whose sum is σ = 336208320. Its totient is φ = 43926400.

The previous prime is 137885599. The next prime is 137885617. The reversal of 137885604 is 406588731.

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, 33187 + ... + 37109.

It is an arithmetic number, because the mean of its divisors is an integer number (7004340).

Almost surely, 2137885604 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 137885604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168104160).

137885604 is an abundant number, since it is smaller than the sum of its proper divisors (198322716).

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

137885604 is a wasteful number, since it uses less digits than its factorization.

137885604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 137885604 is about 11742.4700978968. The cubic root of 137885604 is about 516.6220938771.

The spelling of 137885604 in words is "one hundred thirty-seven million, eight hundred eighty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 12 29 58 87 101 116 174 202 303 348 404 606 1212 2929 3923 5858 7846 8787 11716 11769 15692 17574 23538 35148 47076 113767 227534 341301 396223 455068 682602 792446 1188669 1365204 1584892 2377338 4754676 11490467 22980934 34471401 45961868 68942802 137885604