1137013480096 has 96 divisors (see below), whose sum is σ = 2572592762880. Its totient is φ = 490016894976.

The previous prime is 1137013480091. The next prime is 1137013480111. The reversal of 1137013480096 is 6900843107311.

It is not an unprimeable number, because it can be changed into a prime (1137013480091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265165 + ... + 1531123.

It is an arithmetic number, because the mean of its divisors is an integer number (26797841280).

Almost surely, 2^{1137013480096} is an apocalyptic number.

1137013480096 is a gapful number since it is divisible by the number (16) 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 1137013480096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286296381440).

1137013480096 is an abundant number, since it is smaller than the sum of its proper divisors (1435579282784).

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

1137013480096 is a wasteful number, since it uses less digits than its factorization.

1137013480096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266126 (or 1266118 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 1137013480096 in words is "one trillion, one hundred thirty-seven billion, thirteen million, four hundred eighty thousand, ninety-six".