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136465056 = 253271341127
BaseRepresentation
bin10000010001001…
…00101010100000
3100111210010212100
420020210222200
5234413340211
621312530400
73244635210
oct1010445240
9314703770
10136465056
1170038242
1239850a00
1322370370
14141a4240
15bea9156
hex8224aa0

136465056 has 288 divisors, whose sum is σ = 493129728. Its totient is φ = 34836480.

The previous prime is 136465051. The next prime is 136465081. The reversal of 136465056 is 650564631.

136465056 is a `hidden beast` number, since 1 + 3 + 646 + 5 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 136465056.

It is not an unprimeable number, because it can be changed into a prime (136465051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1074465 + ... + 1074591.

It is an arithmetic number, because the mean of its divisors is an integer number (1712256).

Almost surely, 2136465056 is an apocalyptic number.

136465056 is a gapful number since it is divisible by the number (16) 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 136465056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246564864).

136465056 is an abundant number, since it is smaller than the sum of its proper divisors (356664672).

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

136465056 is a wasteful number, since it uses less digits than its factorization.

136465056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 136465056 is about 11681.8258846809. The cubic root of 136465056 is about 514.8418227895.

The spelling of 136465056 in words is "one hundred thirty-six million, four hundred sixty-five thousand, fifty-six".