536135400 has 72 divisors (see below), whose sum is σ = 1800527430. Its totient is φ = 142968960.

The previous prime is 536135387. The next prime is 536135417. The reversal of 536135400 is 4531635.

536135400 is a `hidden beast` number, since 5 + 3 + 613 + 5 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 403286724 + 132848676 = 20082^2 + 11526^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 147127 + ... + 150726.

Almost surely, 2^536135400 is an apocalyptic number.

536135400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

536135400 is an abundant number, since it is smaller than the sum of its proper divisors (1264392030).

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

536135400 is a wasteful number, since it uses less digits than its factorization.

536135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297875 (or 297863 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 536135400 is about 23154.5978155527. The cubic root of 536135400 is about 812.3780140335.

The spelling of 536135400 in words is "five hundred thirty-six million, one hundred thirty-five thousand, four hundred".