1137130834560 has 512 divisors, whose sum is σ = 4210653611520. Its totient is φ = 255653314560.

The previous prime is 1137130834549. The next prime is 1137130834561. The reversal of 1137130834560 is 654380317311.

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

It is not an unprimeable number, because it can be changed into a prime (1137130834561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 413050144 + ... + 413052896.

It is an arithmetic number, because the mean of its divisors is an integer number (8223932835).

Almost surely, 2^{1137130834560} is an apocalyptic number.

1137130834560 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 1137130834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105326805760).

1137130834560 is an abundant number, since it is smaller than the sum of its proper divisors (3073522776960).

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

1137130834560 is a wasteful number, since it uses less digits than its factorization.

1137130834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 1137130834560 in words is "one trillion, one hundred thirty-seven billion, one hundred thirty million, eight hundred thirty-four thousand, five hundred sixty".