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137570829 = 3113131263
BaseRepresentation
bin10000011001100…
…10101000001101
3100120212022200220
420030302220031
5240204231304
621352341553
73260222064
oct1014625015
9316768626
10137570829
1170723000
123a0a48b9
1322669776
14143b11db
15c126ad9
hex8332a0d

137570829 has 32 divisors (see below), whose sum is σ = 204069888. Its totient is φ = 82425200.

The previous prime is 137570827. The next prime is 137570857. The reversal of 137570829 is 928075731.

It is not a de Polignac number, because 137570829 - 21 = 137570827 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137570821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522952 + ... + 523214.

It is an arithmetic number, because the mean of its divisors is an integer number (6377184).

Almost surely, 2137570829 is an apocalyptic number.

It is an amenable number.

137570829 is a deficient number, since it is larger than the sum of its proper divisors (66499059).

137570829 is a wasteful number, since it uses less digits than its factorization.

137570829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 137570829 is about 11729.0591694304. The cubic root of 137570829 is about 516.2286672039.

The spelling of 137570829 in words is "one hundred thirty-seven million, five hundred seventy thousand, eight hundred twenty-nine".

Divisors: 1 3 11 33 121 131 263 363 393 789 1331 1441 2893 3993 4323 8679 15851 31823 34453 47553 95469 103359 174361 350053 378983 523083 1050159 1136949 4168813 12506439 45856943 137570829