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137270340 = 223252926297
BaseRepresentation
bin10000010111010…
…01010001000100
3100120022001111200
420023221101010
5240120122330
621342102500
73254531034
oct1013512104
9316261450
10137270340
1170538269
1239b7aa30
1322592a6c
14143338c4
15c0b7a60
hex82e9444

137270340 has 72 divisors (see below), whose sum is σ = 430761240. Its totient is φ = 35341824.

The previous prime is 137270339. The next prime is 137270351. The reversal of 137270340 is 43072731.

It can be written as a sum of positive squares in 4 ways, for example, as 13660416 + 123609924 = 3696^2 + 11118^2 .

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, 7929 + ... + 18368.

It is an arithmetic number, because the mean of its divisors is an integer number (5982795).

Almost surely, 2137270340 is an apocalyptic number.

137270340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137270340 is an abundant number, since it is smaller than the sum of its proper divisors (293490900).

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

137270340 is a wasteful number, since it uses less digits than its factorization.

137270340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26341 (or 26336 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 137270340 is about 11716.2425717463. The cubic root of 137270340 is about 515.8525358313.

The spelling of 137270340 in words is "one hundred thirty-seven million, two hundred seventy thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 26297 52594 78891 105188 131485 157782 236673 262970 315564 394455 473346 525940 762613 788910 946692 1183365 1525226 1577820 2287839 2366730 3050452 3813065 4575678 4733460 6863517 7626130 9151356 11439195 13727034 15252260 22878390 27454068 34317585 45756780 68635170 137270340