136757763072 has 352 divisors, whose sum is σ = 464722058240. Its totient is φ = 38917324800.

The previous prime is 136757763053. The next prime is 136757763137. The reversal of 136757763072 is 270367757631.

136757763072 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 577 + 63 + 0 + 7 + 2 = 666.

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

It is a congruent number.

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, 53608197 + ... + 53610747.

It is an arithmetic number, because the mean of its divisors is an integer number (1320233120).

Almost surely, 2^136757763072 is an apocalyptic number.

136757763072 is a gapful number since it is divisible by the number (12) 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 136757763072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232361029120).

136757763072 is an abundant number, since it is smaller than the sum of its proper divisors (327964295168).

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

136757763072 is a wasteful number, since it uses less digits than its factorization.

136757763072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 7779240, while the sum is 54.

The spelling of 136757763072 in words is "one hundred thirty-six billion, seven hundred fifty-seven million, seven hundred sixty-three thousand, seventy-two".