136113241522500 has 1440 divisors, whose sum is σ = 502830412761600. Its totient is φ = 31769337600000.

The previous prime is 136113241522441. The next prime is 136113241522507. The reversal of 136113241522500 is 5225142311631.

136113241522500 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 13 + 2 + 415 + 225 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (136113241522507) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 123402756949 + ... + 123402758051.

It is an arithmetic number, because the mean of its divisors is an integer number (349187786640).

Almost surely, 2^{136113241522500} is an apocalyptic number.

136113241522500 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 136113241522500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251415206380800).

136113241522500 is an abundant number, since it is smaller than the sum of its proper divisors (366717171239100).

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

136113241522500 is a wasteful number, since it uses less digits than its factorization.

136113241522500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 136113241522500 in words is "one hundred thirty-six trillion, one hundred thirteen billion, two hundred forty-one million, five hundred twenty-two thousand, five hundred".