1137254643120 has 80 divisors (see below), whose sum is σ = 3550852730880. Its totient is φ = 301086112512.

The previous prime is 1137254643113. The next prime is 1137254643131. The reversal of 1137254643120 is 213464527311.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 17011824 + ... + 17078543.

It is an arithmetic number, because the mean of its divisors is an integer number (44385659136).

Almost surely, 2^{1137254643120} is an apocalyptic number.

1137254643120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1137254643120 is an abundant number, since it is smaller than the sum of its proper divisors (2413598087760).

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

1137254643120 is a wasteful number, since it uses less digits than its factorization.

1137254643120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34090522 (or 34090516 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 1137254643120 in words is "one trillion, one hundred thirty-seven billion, two hundred fifty-four million, six hundred forty-three thousand, one hundred twenty".