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137079414 = 232191632459
BaseRepresentation
bin10000010101110…
…10101001110110
3100112221100121100
420022322221312
5240043020124
621334030530
73253104303
oct1012725166
9315840540
10137079414
117041787a
1239aa8446
1322526ba4
14142c40aa
15c07b1c9
hex82baa76

137079414 has 48 divisors (see below), whose sum is σ = 314683200. Its totient is φ = 43005168.

The previous prime is 137079409. The next prime is 137079421. The reversal of 137079414 is 414970731.

137079414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54517 + ... + 56975.

It is an arithmetic number, because the mean of its divisors is an integer number (6555900).

Almost surely, 2137079414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137079414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157341600).

137079414 is an abundant number, since it is smaller than the sum of its proper divisors (177603786).

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

137079414 is a wasteful number, since it uses less digits than its factorization.

137079414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2646 counting only the distinct ones).

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

The square root of 137079414 is about 11708.0918172006. The cubic root of 137079414 is about 515.6132625868.

The spelling of 137079414 in words is "one hundred thirty-seven million, seventy-nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 163 171 326 342 489 978 1467 2459 2934 3097 4918 6194 7377 9291 14754 18582 22131 27873 44262 46721 55746 93442 140163 280326 400817 420489 801634 840978 1202451 2404902 3607353 7214706 7615523 15231046 22846569 45693138 68539707 137079414