135590400 has 360 divisors, whose sum is σ = 534300624. Its totient is φ = 32563200.

The previous prime is 135590369. The next prime is 135590401. The reversal of 135590400 is 4095531.

135590400 is a `hidden beast` number, since 1 + 35 + 590 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (135590401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1267147 + ... + 1267253.

Almost surely, 2^135590400 is an apocalyptic number.

135590400 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 135590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267150312).

135590400 is an abundant number, since it is smaller than the sum of its proper divisors (398710224).

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

135590400 is a wasteful number, since it uses less digits than its factorization.

135590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 135590400 is about 11644.3290918799. The cubic root of 135590400 is about 513.7395259555.

The spelling of 135590400 in words is "one hundred thirty-five million, five hundred ninety thousand, four hundred".