1137127992000 has 2016 divisors, whose sum is σ = 5122938143232. Its totient is φ = 217451520000.

The previous prime is 1137127991957. The next prime is 1137127992029. The reversal of 1137127992000 is 2997217311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3435431835 + ... + 3435432165.

It is an arithmetic number, because the mean of its divisors is an integer number (2541139952).

Almost surely, 2^{1137127992000} is an apocalyptic number.

1137127992000 is a gapful number since it is divisible by the number (10) 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 1137127992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561469071616).

1137127992000 is an abundant number, since it is smaller than the sum of its proper divisors (3985810151232).

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

1137127992000 is a wasteful number, since it uses less digits than its factorization.

1137127992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 42.

The spelling of 1137127992000 in words is "one trillion, one hundred thirty-seven billion, one hundred twenty-seven million, nine hundred ninety-two thousand".