135113726400 has 84 divisors (see below), whose sum is σ = 443285633112. Its totient is φ = 36030325760.

The previous prime is 135113726387. The next prime is 135113726413. The reversal of 135113726400 is 4627311531.

It is an interprime number because it is at equal distance from previous prime (135113726387) and next prime (135113726413).

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, 14069547 + ... + 14079146.

It is an arithmetic number, because the mean of its divisors is an integer number (5277209918).

Almost surely, 2^135113726400 is an apocalyptic number.

135113726400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135113726400 is an abundant number, since it is smaller than the sum of its proper divisors (308171906712).

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

135113726400 is a wasteful number, since it uses less digits than its factorization.

135113726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28148718 (or 28148703 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 135113726400 in words is "one hundred thirty-five billion, one hundred thirteen million, seven hundred twenty-six thousand, four hundred".