1137235660512 has 384 divisors, whose sum is σ = 3642142371840. Its totient is φ = 303478824960.

The previous prime is 1137235660469. The next prime is 1137235660529. The reversal of 1137235660512 is 2150665327311.

It is a super-2 number, since 2×1137235660512² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 732282328 + ... + 732283880.

It is an arithmetic number, because the mean of its divisors is an integer number (9484745760).

Almost surely, 2^{1137235660512} is an apocalyptic number.

1137235660512 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 1137235660512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821071185920).

1137235660512 is an abundant number, since it is smaller than the sum of its proper divisors (2504906711328).

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

1137235660512 is a wasteful number, since it uses less digits than its factorization.

1137235660512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 1137235660512 in words is "one trillion, one hundred thirty-seven billion, two hundred thirty-five million, six hundred sixty thousand, five hundred twelve".