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137000402 = 27112273919
BaseRepresentation
bin10000010101001…
…11010111010010
3100112210100012222
420022213113102
5240033003102
621332221042
73252325040
oct1012472722
9315710188
10137000402
1170373480
1239a6a782
13224c9c36
14142a3390
15c062aa2
hex82a75d2

137000402 has 32 divisors (see below), whose sum is σ = 257402880. Its totient is φ = 53128080.

The previous prime is 137000363. The next prime is 137000407. The reversal of 137000402 is 204000731.

It is a happy number.

137000402 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1370004022 = 37538220296323208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137000407) 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 15 ways as a sum of consecutive naturals, for example, 32999 + ... + 36917.

It is an arithmetic number, because the mean of its divisors is an integer number (8043840).

Almost surely, 2137000402 is an apocalyptic number.

137000402 is a deficient number, since it is larger than the sum of its proper divisors (120402478).

137000402 is a wasteful number, since it uses less digits than its factorization.

137000402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166.

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 137000402 is about 11704.7170832959. The cubic root of 137000402 is about 515.5141777721.

The spelling of 137000402 in words is "one hundred thirty-seven million, four hundred two", and thus it is an aban number.

Divisors: 1 2 7 11 14 22 77 154 227 454 1589 2497 3178 3919 4994 7838 17479 27433 34958 43109 54866 86218 301763 603526 889613 1779226 6227291 9785743 12454582 19571486 68500201 137000402