136505975760 has 2400 divisors, whose sum is σ = 676109047680. Its totient is φ = 25291284480.

The previous prime is 136505975689. The next prime is 136505975773. The reversal of 136505975760 is 67579505631.

136505975760 is a `hidden beast` number, since 1 + 3 + 6 + 505 + 9 + 75 + 7 + 60 = 666.

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 = 136505975697 and 136505975706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7184525031 + ... + 7184525049.

Almost surely, 2^136505975760 is an apocalyptic number.

136505975760 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 136505975760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338054523840).

136505975760 is an abundant number, since it is smaller than the sum of its proper divisors (539603071920).

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

136505975760 is a wasteful number, since it uses less digits than its factorization.

136505975760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 54.

The spelling of 136505975760 in words is "one hundred thirty-six billion, five hundred five million, nine hundred seventy-five thousand, seven hundred sixty".