1137850560 has 504 divisors, whose sum is σ = 4973366736. Its totient is φ = 236113920.

The previous prime is 1137850537. The next prime is 1137850561. The reversal of 1137850560 is 650587311.

1137850560 is a `hidden beast` number, since 1 + 13 + 7 + 85 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1137850561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1551954 + ... + 1552686.

Almost surely, 2^1137850560 is an apocalyptic number.

1137850560 is a gapful number since it is divisible by the number (10) 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 1137850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486683368).

1137850560 is an abundant number, since it is smaller than the sum of its proper divisors (3835516176).

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

1137850560 is a wasteful number, since it uses less digits than its factorization.

1137850560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1137850560 is about 33732.0405549383. The cubic root of 1137850560 is about 1043.9869642095.

The spelling of 1137850560 in words is "one billion, one hundred thirty-seven million, eight hundred fifty thousand, five hundred sixty".