1137916512 has 84 divisors (see below), whose sum is σ = 3358942020. Its totient is φ = 379297728.

The previous prime is 1137916511. The next prime is 1137916541. The reversal of 1137916512 is 2156197311.

It is a happy number.

1137916512 is a `hidden beast` number, since 1 + 137 + 9 + 1 + 6 + 512 = 666.

It is a super-2 number, since 2×1137916512² = 2589707976564492288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137916511) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1062 + ... + 47717.

It is an arithmetic number, because the mean of its divisors is an integer number (39987405).

Almost surely, 2^1137916512 is an apocalyptic number.

1137916512 is a gapful number since it is divisible by the number (12) 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 1137916512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679471010).

1137916512 is an abundant number, since it is smaller than the sum of its proper divisors (2221025508).

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

1137916512 is an frugal number, since it uses more digits than its factorization.

1137916512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48807 (or 48784 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 1137916512 is about 33733.0181276446. The cubic root of 1137916512 is about 1044.0071343151.

The spelling of 1137916512 in words is "one billion, one hundred thirty-seven million, nine hundred sixteen thousand, five hundred twelve".