16137792000 has 800 divisors, whose sum is σ = 65808984384. Its totient is φ = 3898368000.

The previous prime is 16137791993. The next prime is 16137792001. The reversal of 16137792000 is 29773161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16137792001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 57023859 + ... + 57024141.

Almost surely, 2^16137792000 is an apocalyptic number.

16137792000 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 16137792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32904492192).

16137792000 is an abundant number, since it is smaller than the sum of its proper divisors (49671192384).

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

16137792000 is an equidigital number, since it uses as much as digits as its factorization.

16137792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 16137792000 in words is "sixteen billion, one hundred thirty-seven million, seven hundred ninety-two thousand".