15138968000 has 224 divisors, whose sum is σ = 42137746560. Its totient is φ = 5345894400.

The previous prime is 15138967997. The next prime is 15138968051. The reversal of 15138968000 is 86983151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2388836 + ... + 2395164.

It is an arithmetic number, because the mean of its divisors is an integer number (188114940).

Almost surely, 2^15138968000 is an apocalyptic number.

15138968000 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 15138968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21068873280).

15138968000 is an abundant number, since it is smaller than the sum of its proper divisors (26998778560).

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

15138968000 is a wasteful number, since it uses less digits than its factorization.

15138968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6372 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The spelling of 15138968000 in words is "fifteen billion, one hundred thirty-eight million, nine hundred sixty-eight thousand".