136515480393600 has 2304 divisors, whose sum is σ = 629958855052800. Its totient is φ = 27314587238400.

The previous prime is 136515480393559. The next prime is 136515480393631. The reversal of 136515480393600 is 6393084515631.

136515480393600 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 1 + 548 + 0 + 3 + 93 + 6 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25531226127 + ... + 25531231473.

It is an arithmetic number, because the mean of its divisors is an integer number (273419641950).

Almost surely, 2^{136515480393600} is an apocalyptic number.

136515480393600 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 136515480393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314979427526400).

136515480393600 is an abundant number, since it is smaller than the sum of its proper divisors (493443374659200).

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

136515480393600 is a wasteful number, since it uses less digits than its factorization.

136515480393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5821 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 136515480393600 in words is "one hundred thirty-six trillion, five hundred fifteen billion, four hundred eighty million, three hundred ninety-three thousand, six hundred".