15145504000 has 288 divisors, whose sum is σ = 43597636992. Its totient is φ = 5181440000.

The previous prime is 15145503973. The next prime is 15145504009. The reversal of 15145504000 is 40554151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15145504009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5982735 + ... + 5985265.

It is an arithmetic number, because the mean of its divisors is an integer number (151380684).

Almost surely, 2^15145504000 is an apocalyptic number.

15145504000 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 15145504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21798818496).

15145504000 is an abundant number, since it is smaller than the sum of its proper divisors (28452132992).

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

15145504000 is a wasteful number, since it uses less digits than its factorization.

15145504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 15145504000 in words is "fifteen billion, one hundred forty-five million, five hundred four thousand".