135172400 has 120 divisors (see below), whose sum is σ = 366071808. Its totient is φ = 47520000.

The previous prime is 135172391. The next prime is 135172459. The reversal of 135172400 is 4271531.

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, 135905 + ... + 136895.

Almost surely, 2^135172400 is an apocalyptic number.

135172400 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 135172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183035904).

135172400 is an abundant number, since it is smaller than the sum of its proper divisors (230899408).

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

135172400 is a wasteful number, since it uses less digits than its factorization.

135172400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 135172400 is about 11626.3665863416. The cubic root of 135172400 is about 513.2110613749.

The spelling of 135172400 in words is "one hundred thirty-five million, one hundred seventy-two thousand, four hundred".