136642258400 has 72 divisors (see below), whose sum is σ = 333658425744. Its totient is φ = 54643712000.

The previous prime is 136642258399. The next prime is 136642258427. The reversal of 136642258400 is 4852246631.

It is a super-2 number, since 2×136642258400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3720125 + ... + 3756675.

It is an arithmetic number, because the mean of its divisors is an integer number (4634144802).

Almost surely, 2^136642258400 is an apocalyptic number.

136642258400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136642258400 is an abundant number, since it is smaller than the sum of its proper divisors (197016167344).

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

136642258400 is a wasteful number, since it uses less digits than its factorization.

136642258400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41244 (or 41231 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 136642258400 in words is "one hundred thirty-six billion, six hundred forty-two million, two hundred fifty-eight thousand, four hundred".