135313554600 has 576 divisors, whose sum is σ = 543430218240. Its totient is φ = 29527142400.

The previous prime is 135313554587. The next prime is 135313554611. The reversal of 135313554600 is 6455313531.

135313554600 is a `hidden beast` number, since 1 + 35 + 3 + 13 + 5 + 5 + 4 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24277414 + ... + 24282986.

It is an arithmetic number, because the mean of its divisors is an integer number (943455240).

Almost surely, 2^135313554600 is an apocalyptic number.

135313554600 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 135313554600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271715109120).

135313554600 is an abundant number, since it is smaller than the sum of its proper divisors (408116663640).

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

135313554600 is a wasteful number, since it uses less digits than its factorization.

135313554600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5690 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 135313554600 in words is "one hundred thirty-five billion, three hundred thirteen million, five hundred fifty-four thousand, six hundred".