1137582656 has 56 divisors (see below), whose sum is σ = 2622230976. Its totient is φ = 479531520.

The previous prime is 1137582613. The next prime is 1137582671. The reversal of 1137582656 is 6562857311.

It is a tau number, because it is divible by the number of its divisors (56).

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, 6515 + ... + 48141.

Almost surely, 2^1137582656 is an apocalyptic number.

1137582656 is a gapful number since it is divisible by the number (16) 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 1137582656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311115488).

1137582656 is an abundant number, since it is smaller than the sum of its proper divisors (1484648320).

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

1137582656 is an equidigital number, since it uses as much as digits as its factorization.

1137582656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41707 (or 41697 counting only the distinct ones).

The product of its digits is 302400, while the sum is 44.

The square root of 1137582656 is about 33728.0692598909. The cubic root of 1137582656 is about 1043.9050230926.

The spelling of 1137582656 in words is "one billion, one hundred thirty-seven million, five hundred eighty-two thousand, six hundred fifty-six".