1137665560 has 64 divisors (see below), whose sum is σ = 2681553600. Its totient is φ = 433568256.

The previous prime is 1137665549. The next prime is 1137665611. The reversal of 1137665560 is 655667311.

It is a super-3 number, since 3×1137665560³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245182 + ... + 249778.

It is an arithmetic number, because the mean of its divisors is an integer number (41899275).

Almost surely, 2^1137665560 is an apocalyptic number.

1137665560 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 1137665560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340776800).

1137665560 is an abundant number, since it is smaller than the sum of its proper divisors (1543888040).

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

1137665560 is a wasteful number, since it uses less digits than its factorization.

1137665560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 1137665560 is about 33729.2982435152. The cubic root of 1137665560 is about 1043.9303814843.

The spelling of 1137665560 in words is "one billion, one hundred thirty-seven million, six hundred sixty-five thousand, five hundred sixty".