1137534319488 has 192 divisors, whose sum is σ = 3522139804800. Its totient is φ = 324339821568.

The previous prime is 1137534319433. The next prime is 1137534319499. The reversal of 1137534319488 is 8849134357311.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9101323 + ... + 9225461.

It is an arithmetic number, because the mean of its divisors is an integer number (18344478150).

Almost surely, 2^{1137534319488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137534319488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761069902400).

1137534319488 is an abundant number, since it is smaller than the sum of its proper divisors (2384605485312).

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

1137534319488 is a wasteful number, since it uses less digits than its factorization.

1137534319488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124657 (or 124638 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The spelling of 1137534319488 in words is "one trillion, one hundred thirty-seven billion, five hundred thirty-four million, three hundred nineteen thousand, four hundred eighty-eight".