52137600 has 96 divisors (see below), whose sum is σ = 171759840. Its totient is φ = 13900800.

The previous prime is 52137581. The next prime is 52137601. The reversal of 52137600 is 673125.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (52137601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6885 + ... + 12315.

It is an arithmetic number, because the mean of its divisors is an integer number (1789165).

Almost surely, 2^52137600 is an apocalyptic number.

52137600 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 52137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85879920).

52137600 is an abundant number, since it is smaller than the sum of its proper divisors (119622240).

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

52137600 is a wasteful number, since it uses less digits than its factorization.

52137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5458 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 52137600 is about 7220.6370910052. The cubic root of 52137600 is about 373.5800523382.

The spelling of 52137600 in words is "fifty-two million, one hundred thirty-seven thousand, six hundred".