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137105082 = 2332538983
BaseRepresentation
bin10000010110000…
…00111010111010
3100112222122211000
420023000322322
5240044330312
621334345430
73253242162
oct1013007272
9315878730
10137105082
1170435094
1239abb276
132253578a
14142cd5a2
15c083adc
hex82c0eba

137105082 has 16 divisors (see below), whose sum is σ = 304678080. Its totient is φ = 45701676.

The previous prime is 137105081. The next prime is 137105099. The reversal of 137105082 is 280501731.

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

It is not an unprimeable number, because it can be changed into a prime (137105081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1269438 + ... + 1269545.

It is an arithmetic number, because the mean of its divisors is an integer number (19042380).

Almost surely, 2137105082 is an apocalyptic number.

137105082 is an abundant number, since it is smaller than the sum of its proper divisors (167572998).

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

137105082 is a wasteful number, since it uses less digits than its factorization.

137105082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538994 (or 2538988 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 137105082 is about 11709.1879308516. The cubic root of 137105082 is about 515.6454432886.

The spelling of 137105082 in words is "one hundred thirty-seven million, one hundred five thousand, eighty-two".

Divisors: 1 2 3 6 9 18 27 54 2538983 5077966 7616949 15233898 22850847 45701694 68552541 137105082