135056400 has 120 divisors (see below), whose sum is σ = 435356064. Its totient is φ = 35788800.

The previous prime is 135056377. The next prime is 135056417. The reversal of 135056400 is 4650531.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 288967 + ... + 289433.

Almost surely, 2^135056400 is an apocalyptic number.

135056400 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 135056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217678032).

135056400 is an abundant number, since it is smaller than the sum of its proper divisors (300299664).

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

135056400 is a wasteful number, since it uses less digits than its factorization.

135056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 135056400 is about 11621.3768547449. The cubic root of 135056400 is about 513.0642130519.

The spelling of 135056400 in words is "one hundred thirty-five million, fifty-six thousand, four hundred".