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137058414 = 23101226169
BaseRepresentation
bin10000010101101…
…01100001101110
3100112220021210120
420022311201232
5240041332124
621333345410
73252656133
oct1012654156
9315807716
10137058414
1170403019
1239a98266
132251a46c
14142ba58a
15c074d79
hex82b586e

137058414 has 16 divisors (see below), whose sum is σ = 276832080. Its totient is φ = 45233600.

The previous prime is 137058401. The next prime is 137058421. The reversal of 137058414 is 414850731.

137058414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 112479 + ... + 113690.

It is an arithmetic number, because the mean of its divisors is an integer number (17302005).

Almost surely, 2137058414 is an apocalyptic number.

137058414 is an abundant number, since it is smaller than the sum of its proper divisors (139773666).

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

137058414 is a wasteful number, since it uses less digits than its factorization.

137058414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226275.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 137058414 is about 11707.1949671986. The cubic root of 137058414 is about 515.5869313015.

The spelling of 137058414 in words is "one hundred thirty-seven million, fifty-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 101 202 303 606 226169 452338 678507 1357014 22843069 45686138 68529207 137058414