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137021274 = 233131910273
BaseRepresentation
bin10000010101011…
…00011101011010
3100112211101212000
420022230131122
5240034140044
621332501430
73252442635
oct1012543532
9315741760
10137021274
1170388125
1239a7a876
13225065a0
14142aac1c
15c068d69
hex82ac75a

137021274 has 64 divisors (see below), whose sum is σ = 345206400. Its totient is φ = 39937536.

The previous prime is 137021237. The next prime is 137021321. The reversal of 137021274 is 472120731.

It is a happy number.

137021274 is a `hidden beast` number, since 1 + 370 + 21 + 274 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 8202 + ... + 18474.

It is an arithmetic number, because the mean of its divisors is an integer number (5393850).

Almost surely, 2137021274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137021274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172603200).

137021274 is an abundant number, since it is smaller than the sum of its proper divisors (208185126).

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

137021274 is a wasteful number, since it uses less digits than its factorization.

137021274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10316 (or 10310 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 137021274 is about 11705.6086556830. The cubic root of 137021274 is about 515.5403559570.

The spelling of 137021274 in words is "one hundred thirty-seven million, twenty-one thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 4446 6669 10273 13338 20546 30819 61638 92457 133549 184914 195187 267098 277371 390374 400647 554742 585561 801294 1171122 1201941 1756683 2403882 2537431 3513366 3605823 5074862 5270049 7211646 7612293 10540098 15224586 22836879 45673758 68510637 137021274