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136964520 = 2336571161
BaseRepresentation
bin10000010100111…
…10100110101000
3100112201112000000
420022132212220
5240030331040
621331343000
73252115320
oct1012364650
9315645000
10136964520
1170349520
1239a51a60
13224b67c4
1414294280
15c057130
hex829e9a8

136964520 has 448 divisors, whose sum is σ = 585498240. Its totient is φ = 27993600.

The previous prime is 136964519. The next prime is 136964537. The reversal of 136964520 is 25469631.

It is a happy number.

136964520 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 645 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2245290 + ... + 2245350.

Almost surely, 2136964520 is an apocalyptic number.

136964520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136964520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292749120).

136964520 is an abundant number, since it is smaller than the sum of its proper divisors (448533720).

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

136964520 is a wasteful number, since it uses less digits than its factorization.

136964520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 136964520 is about 11703.1841820934. The cubic root of 136964520 is about 515.4691674544.

The spelling of 136964520 in words is "one hundred thirty-six million, nine hundred sixty-four thousand, five hundred twenty".