1137382786176 has 1024 divisors, whose sum is σ = 4101088051200. Its totient is φ = 270888468480.

The previous prime is 1137382786171. The next prime is 1137382786213. The reversal of 1137382786176 is 6716872837311.

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

It is not an unprimeable number, because it can be changed into a prime (1137382786171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1502486790 + ... + 1502487546.

It is an arithmetic number, because the mean of its divisors is an integer number (4004968800).

Almost surely, 2^{1137382786176} is an apocalyptic number.

1137382786176 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 1137382786176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050544025600).

1137382786176 is an abundant number, since it is smaller than the sum of its proper divisors (2963705265024).

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

1137382786176 is a wasteful number, since it uses less digits than its factorization.

1137382786176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 905 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 60.

The spelling of 1137382786176 in words is "one trillion, one hundred thirty-seven billion, three hundred eighty-two million, seven hundred eighty-six thousand, one hundred seventy-six".