63137080 has 64 divisors (see below), whose sum is σ = 149299200. Its totient is φ = 23998080.

The previous prime is 63137077. The next prime is 63137101. The reversal of 63137080 is 8073136.

63137080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 72729 + ... + 73591.

It is an arithmetic number, because the mean of its divisors is an integer number (2332800).

Almost surely, 2^63137080 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 63137080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74649600).

63137080 is an abundant number, since it is smaller than the sum of its proper divisors (86162120).

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

63137080 is a wasteful number, since it uses less digits than its factorization.

63137080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 63137080 is about 7945.8844693338. The cubic root of 63137080 is about 398.1941091654.

The spelling of 63137080 in words is "sixty-three million, one hundred thirty-seven thousand, eighty".