1137566080 has 128 divisors (see below), whose sum is σ = 3208642560. Its totient is φ = 377395200.

The previous prime is 1137566077. The next prime is 1137566107. The reversal of 1137566080 is 806657311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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, 134785 + ... + 142975.

It is an arithmetic number, because the mean of its divisors is an integer number (25067520).

Almost surely, 2^1137566080 is an apocalyptic number.

1137566080 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 1137566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604321280).

1137566080 is an abundant number, since it is smaller than the sum of its proper divisors (2071076480).

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

1137566080 is an equidigital number, since it uses as much as digits as its factorization.

1137566080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8236 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 1137566080 is about 33727.8235289501. The cubic root of 1137566080 is about 1043.8999527347.

The spelling of 1137566080 in words is "one billion, one hundred thirty-seven million, five hundred sixty-six thousand, eighty".