1137694610528 has 144 divisors (see below), whose sum is σ = 2862368974080. Its totient is φ = 434748819456.

The previous prime is 1137694610501. The next prime is 1137694610543. The reversal of 1137694610528 is 8250164967311.

It is a self number, because there is not a number n which added to its sum of digits gives 1137694610528.

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, 767501 + ... + 1692467.

It is an arithmetic number, because the mean of its divisors is an integer number (19877562320).

It is a 1-persistent number, because it is pandigital, but 2⋅1137694610528 = 2275389221056 is not.

Almost surely, 2^{1137694610528} 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 1137694610528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431184487040).

1137694610528 is an abundant number, since it is smaller than the sum of its proper divisors (1724674363552).

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

1137694610528 is a wasteful number, since it uses less digits than its factorization.

1137694610528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925037 (or 925012 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 1137694610528 in words is "one trillion, one hundred thirty-seven billion, six hundred ninety-four million, six hundred ten thousand, five hundred twenty-eight".