53819136 has 216 divisors, whose sum is σ = 183665664. Its totient is φ = 14837760.

The previous prime is 53819113. The next prime is 53819167. The reversal of 53819136 is 63191835.

It is a happy number.

53819136 is a `hidden beast` number, since 538 + 1 + 91 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53819136.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 757981 + ... + 758051.

It is an arithmetic number, because the mean of its divisors is an integer number (850304).

Almost surely, 2^53819136 is an apocalyptic number.

53819136 is a gapful number since it is divisible by the number (56) 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 53819136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91832832).

53819136 is an abundant number, since it is smaller than the sum of its proper divisors (129846528).

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

53819136 is a wasteful number, since it uses less digits than its factorization.

53819136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 53819136 is about 7336.1526701671. The cubic root of 53819136 is about 377.5538534050.

The spelling of 53819136 in words is "fifty-three million, eight hundred nineteen thousand, one hundred thirty-six".