1137513888 has 288 divisors, whose sum is σ = 4009461120. Its totient is φ = 307307520.

The previous prime is 1137513851. The next prime is 1137513889. The reversal of 1137513888 is 8883157311.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1137513889) 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 47 ways as a sum of consecutive naturals, for example, 2183068 + ... + 2183588.

It is an arithmetic number, because the mean of its divisors is an integer number (13921740).

Almost surely, 2^1137513888 is an apocalyptic number.

1137513888 is a gapful number since it is divisible by the number (18) 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 1137513888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004730560).

1137513888 is an abundant number, since it is smaller than the sum of its proper divisors (2871947232).

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

1137513888 is a wasteful number, since it uses less digits than its factorization.

1137513888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 552 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 1137513888 is about 33727.0497968619. The cubic root of 1137513888 is about 1043.8839876373.

The spelling of 1137513888 in words is "one billion, one hundred thirty-seven million, five hundred thirteen thousand, eight hundred eighty-eight".