1137271728768 has 256 divisors, whose sum is σ = 3550487351040. Its totient is φ = 315768176640.

The previous prime is 1137271728757. The next prime is 1137271728773. The reversal of 1137271728768 is 8678271727311.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28303380 + ... + 28343532.

It is an arithmetic number, because the mean of its divisors is an integer number (13869091215).

Almost surely, 2^{1137271728768} 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 1137271728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775243675520).

1137271728768 is an abundant number, since it is smaller than the sum of its proper divisors (2413215622272).

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

1137271728768 is a wasteful number, since it uses less digits than its factorization.

1137271728768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40475 (or 40463 counting only the distinct ones).

The product of its digits is 11063808, while the sum is 60.

The spelling of 1137271728768 in words is "one trillion, one hundred thirty-seven billion, two hundred seventy-one million, seven hundred twenty-eight thousand, seven hundred sixty-eight".