53136000 has 320 divisors, whose sum is σ = 202161960. Its totient is φ = 13824000.

The previous prime is 53135987. The next prime is 53136001. The reversal of 53136000 is 63135.

53136000 is a `hidden beast` number, since 53 + 13 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4359744 + 48776256 = 2088^2 + 6984^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53136001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1295980 + ... + 1296020.

Almost surely, 2^53136000 is an apocalyptic number.

53136000 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 53136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101080980).

53136000 is an abundant number, since it is smaller than the sum of its proper divisors (149025960).

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

53136000 is an equidigital number, since it uses as much as digits as its factorization.

53136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 53136000 is about 7289.4444232740. Note that the first 4 decimals coincide. The cubic root of 53136000 is about 375.9495933635.

Adding to 53136000 its reverse (63135), we get a palindrome (53199135).

The spelling of 53136000 in words is "fifty-three million, one hundred thirty-six thousand".