15134137200 has 1440 divisors, whose sum is σ = 70520486400. Its totient is φ = 3030773760.

The previous prime is 15134137199. The next prime is 15134137217. The reversal of 15134137200 is 273143151.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 256510771 + ... + 256510829.

It is an arithmetic number, because the mean of its divisors is an integer number (48972560).

Almost surely, 2^15134137200 is an apocalyptic number.

15134137200 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 15134137200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35260243200).

15134137200 is an abundant number, since it is smaller than the sum of its proper divisors (55386349200).

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

15134137200 is a wasteful number, since it uses less digits than its factorization.

15134137200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 15134137200 in words is "fifteen billion, one hundred thirty-four million, one hundred thirty-seven thousand, two hundred".