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137135796 = 22371632569
BaseRepresentation
bin10000010110010…
…00011010110100
3100120001012221120
420023020122310
5240101321141
621335143540
73253430550
oct1013103264
9316035846
10137135796
1170456176
1239b14bb0
1322546755
14142da860
15c08cc66
hex82c86b4

137135796 has 24 divisors (see below), whose sum is σ = 365695680. Its totient is φ = 39181632.

The previous prime is 137135759. The next prime is 137135797. The reversal of 137135796 is 697531731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137135797) 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 7 ways as a sum of consecutive naturals, for example, 816201 + ... + 816368.

It is an arithmetic number, because the mean of its divisors is an integer number (15237320).

Almost surely, 2137135796 is an apocalyptic number.

It is an amenable number.

137135796 is an abundant number, since it is smaller than the sum of its proper divisors (228559884).

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

137135796 is a wasteful number, since it uses less digits than its factorization.

137135796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632583 (or 1632581 counting only the distinct ones).

The product of its digits is 119070, while the sum is 42.

The square root of 137135796 is about 11710.4993915717. The cubic root of 137135796 is about 515.6839450262.

The spelling of 137135796 in words is "one hundred thirty-seven million, one hundred thirty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1632569 3265138 4897707 6530276 9795414 11427983 19590828 22855966 34283949 45711932 68567898 137135796