53136900 has 216 divisors, whose sum is σ = 185238144. Its totient is φ = 12672000.

The previous prime is 53136893. The next prime is 53136913. The reversal of 53136900 is 963135.

It is a super-2 number, since 2×53136900² = 5647060283220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 351825 + ... + 351975.

It is an arithmetic number, because the mean of its divisors is an integer number (857584).

Almost surely, 2^53136900 is an apocalyptic number.

53136900 is a gapful number since it is divisible by the number (50) 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 53136900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92619072).

53136900 is an abundant number, since it is smaller than the sum of its proper divisors (132101244).

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

53136900 is a wasteful number, since it uses less digits than its factorization.

53136900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 53136900 is about 7289.5061561124. The cubic root of 53136900 is about 375.9517159215.

The spelling of 53136900 in words is "fifty-three million, one hundred thirty-six thousand, nine hundred".