16137792 has 140 divisors (see below), whose sum is σ = 52370736. Its totient is φ = 4872960.

The previous prime is 16137791. The next prime is 16137799. The reversal of 16137792 is 29773161.

It is a happy number.

16137792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (16137791) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56883 + ... + 57165.

Almost surely, 2^16137792 is an apocalyptic number.

16137792 is a gapful number since it is divisible by the number (12) 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 16137792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26185368).

16137792 is an abundant number, since it is smaller than the sum of its proper divisors (36232944).

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

16137792 is a wasteful number, since it uses less digits than its factorization.

16137792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 299 counting only the distinct ones).

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

The square root of 16137792 is about 4017.1870755542. The cubic root of 16137792 is about 252.7055059964.

The spelling of 16137792 in words is "sixteen million, one hundred thirty-seven thousand, seven hundred ninety-two".