1137991680 has 560 divisors, whose sum is σ = 4757623200. Its totient is φ = 260112384.

The previous prime is 1137991667. The next prime is 1137991693. The reversal of 1137991680 is 861997311.

It is an interprime number because it is at equal distance from previous prime (1137991667) and next prime (1137991693).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 162570237 + ... + 162570243.

Almost surely, 2^1137991680 is an apocalyptic number.

1137991680 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 1137991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378811600).

1137991680 is an abundant number, since it is smaller than the sum of its proper divisors (3619631520).

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

1137991680 is an frugal number, since it uses more digits than its factorization.

1137991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 1137991680 is about 33734.1322698539. The cubic root of 1137991680 is about 1044.0301220005.

The spelling of 1137991680 in words is "one billion, one hundred thirty-seven million, nine hundred ninety-one thousand, six hundred eighty".