1137904656 has 240 divisors, whose sum is σ = 3664051200. Its totient is φ = 302346240.

The previous prime is 1137904627. The next prime is 1137904681. The reversal of 1137904656 is 6564097311.

It is a super-2 number, since 2×1137904656² = 2589654012292956672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 5957521 + ... + 5957711.

It is an arithmetic number, because the mean of its divisors is an integer number (15266880).

Almost surely, 2^1137904656 is an apocalyptic number.

1137904656 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 1137904656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832025600).

1137904656 is an abundant number, since it is smaller than the sum of its proper divisors (2526146544).

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

1137904656 is a wasteful number, since it uses less digits than its factorization.

1137904656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 1137904656 is about 33732.8423943195. The cubic root of 1137904656 is about 1044.0035084511.

The spelling of 1137904656 in words is "one billion, one hundred thirty-seven million, nine hundred four thousand, six hundred fifty-six".