16137925440 has 896 divisors, whose sum is σ = 66855075840. Its totient is φ = 3207168000.

The previous prime is 16137925421. The next prime is 16137925451. The reversal of 16137925440 is 4452973161.

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

It is a junction number, because it is equal to n+sod(n) for n = 16137925392 and 16137925401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 159781390 + ... + 159781490.

It is an arithmetic number, because the mean of its divisors is an integer number (74615040).

Almost surely, 2^16137925440 is an apocalyptic number.

16137925440 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 16137925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33427537920).

16137925440 is an abundant number, since it is smaller than the sum of its proper divisors (50717150400).

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

16137925440 is a wasteful number, since it uses less digits than its factorization.

16137925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 16137925440 in words is "sixteen billion, one hundred thirty-seven million, nine hundred twenty-five thousand, four hundred forty".