53145600 has 156 divisors (see below), whose sum is σ = 176729016. Its totient is φ = 14090240.

The previous prime is 53145593. The next prime is 53145601. The reversal of 53145600 is 654135.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53145601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307114 + ... + 307286.

Almost surely, 2^53145600 is an apocalyptic number.

53145600 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 53145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88364508).

53145600 is an abundant number, since it is smaller than the sum of its proper divisors (123583416).

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

53145600 is a wasteful number, since it uses less digits than its factorization.

53145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 53145600 is about 7290.1028799325. The cubic root of 53145600 is about 375.9722327465.

Adding to 53145600 its reverse (654135), we get a palindrome (53799735).

The spelling of 53145600 in words is "fifty-three million, one hundred forty-five thousand, six hundred".