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137336514 = 237366733
BaseRepresentation
bin10000010111110…
…01011011000010
3100120102102021120
420023321123002
5240124232024
621343333110
73255225000
oct1013713302
9316372246
10137336514
1170582a57
1239bb1196
13225b6c13
141434da70
15c0cc479
hex82f96c2

137336514 has 32 divisors (see below), whose sum is σ = 320323200. Its totient is φ = 39238416.

The previous prime is 137336509. The next prime is 137336561. The reversal of 137336514 is 415633731.

It is a super-2 number, since 2×1373365142 = 37722636155344392, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 31309 + ... + 35424.

It is an arithmetic number, because the mean of its divisors is an integer number (10010100).

Almost surely, 2137336514 is an apocalyptic number.

137336514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

137336514 is an abundant number, since it is smaller than the sum of its proper divisors (182986686).

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

137336514 is an equidigital number, since it uses as much as digits as its factorization.

137336514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66759 (or 66745 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 137336514 is about 11719.0662597325. The cubic root of 137336514 is about 515.9354149681.

The spelling of 137336514 in words is "one hundred thirty-seven million, three hundred thirty-six thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 2058 66733 133466 200199 400398 467131 934262 1401393 2802786 3269917 6539834 9809751 19619502 22889419 45778838 68668257 137336514