136958160456 has 288 divisors, whose sum is σ = 416913194880. Its totient is φ = 40372058880.

The previous prime is 136958160413. The next prime is 136958160461. The reversal of 136958160456 is 654061859631.

136958160456 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 581 + 6 + 0 + 4 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96245361 + ... + 96246783.

It is an arithmetic number, because the mean of its divisors is an integer number (1447615260).

Almost surely, 2^136958160456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136958160456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208456597440).

136958160456 is an abundant number, since it is smaller than the sum of its proper divisors (279955034424).

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

136958160456 is a wasteful number, since it uses less digits than its factorization.

136958160456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 136958160456 in words is "one hundred thirty-six billion, nine hundred fifty-eight million, one hundred sixty thousand, four hundred fifty-six".