53138160 has 160 divisors (see below), whose sum is σ = 186089280. Its totient is φ = 13934592.

The previous prime is 53138159. The next prime is 53138167. The reversal of 53138160 is 6183135.

53138160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53138167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157512 + ... + 157848.

It is an arithmetic number, because the mean of its divisors is an integer number (1163058).

Almost surely, 2^53138160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53138160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93044640).

53138160 is an abundant number, since it is smaller than the sum of its proper divisors (132951120).

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

53138160 is a wasteful number, since it uses less digits than its factorization.

53138160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 53138160 is about 7289.5925812078. The cubic root of 53138160 is about 375.9546874624.

It can be divided in two parts, 531381 and 60, that added together give a 12-th power (531441 = 3¹²).

The spelling of 53138160 in words is "fifty-three million, one hundred thirty-eight thousand, one hundred sixty".