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137648136 = 2331793
BaseRepresentation
bin10000011010001…
…01100000001000
3100121000020202010
420031011200020
5240214220021
621354135520
73260663343
oct1015054010
9317006663
10137648136
117077609a
123a1215a0
1322695a02
14143d145a
15c13e976
hex8345808

137648136 has 32 divisors (see below), whose sum is σ = 346053600. Its totient is φ = 45626384.

The previous prime is 137648059. The next prime is 137648219. The reversal of 137648136 is 631846731.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=358.

It is a junction number, because it is equal to n+sod(n) for n = 137648094 and 137648103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 768895 + ... + 769073.

It is an arithmetic number, because the mean of its divisors is an integer number (10814175).

Almost surely, 2137648136 is an apocalyptic number.

It is an amenable number.

137648136 is an abundant number, since it is smaller than the sum of its proper divisors (208405464).

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

137648136 is an frugal number, since it uses more digits than its factorization.

137648136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 184 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 137648136 is about 11732.3542394525. The cubic root of 137648136 is about 516.3253461701.

The spelling of 137648136 in words is "one hundred thirty-seven million, six hundred forty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 179 358 537 716 1074 1432 2148 4296 32041 64082 96123 128164 192246 256328 384492 768984 5735339 11470678 17206017 22941356 34412034 45882712 68824068 137648136