153536400 has 90 divisors (see below), whose sum is σ = 532826450. Its totient is φ = 40942080.

The previous prime is 153536393. The next prime is 153536413. The reversal of 153536400 is 4635351.

153536400 is a `hidden beast` number, since 15 + 3 + 5 + 3 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 14107536 + 139428864 = 3756^2 + 11808^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×153536400² = 47146852249920000, which contains 22 as substring.

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, 17725 + ... + 24924.

Almost surely, 2^153536400 is an apocalyptic number.

153536400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153536400 is an abundant number, since it is smaller than the sum of its proper divisors (379290050).

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

153536400 is a wasteful number, since it uses less digits than its factorization.

153536400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42673 (or 42659 counting only the distinct ones).

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

The square root of 153536400 is about 12390.9805907362. The cubic root of 153536400 is about 535.4724333065.

The spelling of 153536400 in words is "one hundred fifty-three million, five hundred thirty-six thousand, four hundred".