135931084800 has 360 divisors, whose sum is σ = 513706870656. Its totient is φ = 31067996160.

The previous prime is 135931084789. The next prime is 135931084819. The reversal of 135931084800 is 8480139531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8593699 + ... + 8609501.

Almost surely, 2^135931084800 is an apocalyptic number.

135931084800 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 135931084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256853435328).

135931084800 is an abundant number, since it is smaller than the sum of its proper divisors (377775785856).

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

135931084800 is an equidigital number, since it uses as much as digits as its factorization.

135931084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15851 (or 15820 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 135931084800 in words is "one hundred thirty-five billion, nine hundred thirty-one million, eighty-four thousand, eight hundred".