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137870316 = 22332415297
BaseRepresentation
bin10000011011110…
…11101111101100
3100121102112112000
420031323233230
5240243322231
621403012300
73262610163
oct1015735754
9317375460
10137870316
1170908011
123a20a090
1322742b8c
141444c3da
15c1856e6
hex837bbec

137870316 has 48 divisors (see below), whose sum is σ = 358992480. Its totient is φ = 45757440.

The previous prime is 137870297. The next prime is 137870329. The reversal of 137870316 is 613078731.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23380 + ... + 28676.

It is an arithmetic number, because the mean of its divisors is an integer number (7479010).

Almost surely, 2137870316 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 137870316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179496240).

137870316 is an abundant number, since it is smaller than the sum of its proper divisors (221122164).

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

137870316 is a wasteful number, since it uses less digits than its factorization.

137870316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5551 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 137870316 is about 11741.8191094907. The cubic root of 137870316 is about 516.6029997627.

The spelling of 137870316 in words is "one hundred thirty-seven million, eight hundred seventy thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 241 482 723 964 1446 2169 2892 4338 5297 6507 8676 10594 13014 15891 21188 26028 31782 47673 63564 95346 143019 190692 286038 572076 1276577 2553154 3829731 5106308 7659462 11489193 15318924 22978386 34467579 45956772 68935158 137870316