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137648632 = 23112532683
BaseRepresentation
bin10000011010001…
…01100111111000
3100121000021102111
420031011213320
5240214224012
621354142104
73260664652
oct1015054770
9317007374
10137648632
1170776500
123a121934
1322695cc4
14143d16d2
15c13eba7
hex83459f8

137648632 has 48 divisors (see below), whose sum is σ = 289147320. Its totient is φ = 61364160.

The previous prime is 137648627. The next prime is 137648657. The reversal of 137648632 is 236846731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49963 + ... + 52645.

Almost surely, 2137648632 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 137648632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144573660).

137648632 is an abundant number, since it is smaller than the sum of its proper divisors (151498688).

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

137648632 is a wasteful number, since it uses less digits than its factorization.

137648632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2749 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 137648632 is about 11732.3753775610. The cubic root of 137648632 is about 516.3259663433.

The spelling of 137648632 in words is "one hundred thirty-seven million, six hundred forty-eight thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 53 88 106 121 212 242 424 484 583 968 1166 2332 2683 4664 5366 6413 10732 12826 21464 25652 29513 51304 59026 118052 142199 236104 284398 324643 568796 649286 1137592 1298572 1564189 2597144 3128378 6256756 12513512 17206079 34412158 68824316 137648632