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137218104 = 23331374637
BaseRepresentation
bin10000010110111…
…00100000111000
3100120012101212000
420023130200320
5240111434404
621341021000
73254222532
oct1013344070
9316171760
10137218104
1170501aa1
1239b54760
132257505a
141431c852
15c0a7339
hex82dc838

137218104 has 64 divisors (see below), whose sum is σ = 384026400. Its totient is φ = 45395712.

The previous prime is 137218099. The next prime is 137218139. The reversal of 137218104 is 401812731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27274 + ... + 31910.

Almost surely, 2137218104 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 137218104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192013200).

137218104 is an abundant number, since it is smaller than the sum of its proper divisors (246808296).

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

137218104 is a wasteful number, since it uses less digits than its factorization.

137218104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 137218104 is about 11714.0131466547. The cubic root of 137218104 is about 515.7870944263.

The spelling of 137218104 in words is "one hundred thirty-seven million, two hundred eighteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 137 216 274 411 548 822 1096 1233 1644 2466 3288 3699 4637 4932 7398 9274 9864 13911 14796 18548 27822 29592 37096 41733 55644 83466 111288 125199 166932 250398 333864 500796 635269 1001592 1270538 1905807 2541076 3811614 5082152 5717421 7623228 11434842 15246456 17152263 22869684 34304526 45739368 68609052 137218104