136157535360 has 1024 divisors, whose sum is σ = 620797132800. Its totient is φ = 27371520000.

The previous prime is 136157535317. The next prime is 136157535403. The reversal of 136157535360 is 63535751631.

136157535360 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 57 + 535 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (136157535317) and next prime (136157535403).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41245710 + ... + 41249010.

It is an arithmetic number, because the mean of its divisors is an integer number (606247200).

Almost surely, 2^136157535360 is an apocalyptic number.

136157535360 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 136157535360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310398566400).

136157535360 is an abundant number, since it is smaller than the sum of its proper divisors (484639597440).

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

136157535360 is a wasteful number, since it uses less digits than its factorization.

136157535360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 136157535360 in words is "one hundred thirty-six billion, one hundred fifty-seven million, five hundred thirty-five thousand, three hundred sixty".