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137270193 = 31971107317
BaseRepresentation
bin10000010111010…
…01001110110001
3100120022001022020
420023221032301
5240120121233
621342102053
73254530434
oct1013511661
9316261266
10137270193
1170538145
1239b7a929
1322592988
141433381b
15c0b79b3
hex82e93b1

137270193 has 32 divisors (see below), whose sum is σ = 197821440. Its totient is φ = 84409920.

The previous prime is 137270183. The next prime is 137270213. The reversal of 137270193 is 391072731.

It is a happy number.

It is not a de Polignac number, because 137270193 - 221 = 135173041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137270123) by changing a digit.

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, 432871 + ... + 433187.

It is an arithmetic number, because the mean of its divisors is an integer number (6181920).

Almost surely, 2137270193 is an apocalyptic number.

It is an amenable number.

137270193 is a deficient number, since it is larger than the sum of its proper divisors (60551247).

137270193 is a wasteful number, since it uses less digits than its factorization.

137270193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517.

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 137270193 is about 11716.2362984023. The cubic root of 137270193 is about 515.8523516926.

The spelling of 137270193 in words is "one hundred thirty-seven million, two hundred seventy thousand, one hundred ninety-three".

Divisors: 1 3 19 57 71 107 213 317 321 951 1349 2033 4047 6023 6099 7597 18069 22507 22791 33919 67521 101757 144343 427633 433029 644461 1282899 1933383 2408249 7224747 45756731 137270193