136056744092160 has 320 divisors, whose sum is σ = 488069917061760. Its totient is φ = 35922570854400.

The previous prime is 136056744092111. The next prime is 136056744092173. The reversal of 136056744092160 is 61290447650631.

It is a happy number.

136056744092160 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 5 + 6 + 74 + 409 + 2 + 160 = 666.

136056744092160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×136056744092160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 136056744092097 and 136056744092106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2763502 + ... + 16725741.

It is an arithmetic number, because the mean of its divisors is an integer number (1525218490818).

Almost surely, 2^{136056744092160} is an apocalyptic number.

136056744092160 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 136056744092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244034958530880).

136056744092160 is an abundant number, since it is smaller than the sum of its proper divisors (352013172969600).

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

136056744092160 is a wasteful number, since it uses less digits than its factorization.

136056744092160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19489376 (or 19489354 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 136056744092160 in words is "one hundred thirty-six trillion, fifty-six billion, seven hundred forty-four million, ninety-two thousand, one hundred sixty".