136311275520 has 1088 divisors, whose sum is σ = 579816161280. Its totient is φ = 29727129600.

The previous prime is 136311275501. The next prime is 136311275533. The reversal of 136311275520 is 25572113631.

136311275520 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 1 + 127 + 5 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1919877085 + ... + 1919877155.

Almost surely, 2^136311275520 is an apocalyptic number.

136311275520 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 136311275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289908080640).

136311275520 is an abundant number, since it is smaller than the sum of its proper divisors (443504885760).

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

136311275520 is an frugal number, since it uses more digits than its factorization.

136311275520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 136311275520 in words is "one hundred thirty-six billion, three hundred eleven million, two hundred seventy-five thousand, five hundred twenty".