135156556800 has 264 divisors, whose sum is σ = 496335271200. Its totient is φ = 36041564160.

The previous prime is 135156556763. The next prime is 135156556811. The reversal of 135156556800 is 8655651531.

135156556800 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 565 + 5 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 593431 + ... + 788969.

Almost surely, 2^135156556800 is an apocalyptic number.

135156556800 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 135156556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248167635600).

135156556800 is an abundant number, since it is smaller than the sum of its proper divisors (361178714400).

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

135156556800 is a wasteful number, since it uses less digits than its factorization.

135156556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195578 (or 195549 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 135156556800 in words is "one hundred thirty-five billion, one hundred fifty-six million, five hundred fifty-six thousand, eight hundred".