51138160 has 40 divisors (see below), whose sum is σ = 119278080. Its totient is φ = 20389632.

The previous prime is 51138119. The next prime is 51138173. The reversal of 51138160 is 6183115.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×51138160² = 5230222816371200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 29806 + ... + 31474.

It is an arithmetic number, because the mean of its divisors is an integer number (2981952).

Almost surely, 2^51138160 is an apocalyptic number.

It is an amenable number.

51138160 is an abundant number, since it is smaller than the sum of its proper divisors (68139920).

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

51138160 is a wasteful number, since it uses less digits than its factorization.

51138160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 51138160 is about 7151.0950210440. The cubic root of 51138160 is about 371.1775486198.

The spelling of 51138160 in words is "fifty-one million, one hundred thirty-eight thousand, one hundred sixty".