15135120000 has 1920 divisors, whose sum is σ = 76284331200. Its totient is φ = 2903040000.

The previous prime is 15135119999. The next prime is 15135120001. The reversal of 15135120000 is 2153151.

15135120000 is a `hidden beast` number, since 151 + 3 + 512 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (15135119999) and next prime (15135120001).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (15135120001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1164239994 + ... + 1164240006.

Almost surely, 2^15135120000 is an apocalyptic number.

15135120000 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 15135120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38142165600).

15135120000 is an abundant number, since it is smaller than the sum of its proper divisors (61149211200).

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

15135120000 is a wasteful number, since it uses less digits than its factorization.

15135120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 15135120000 its reverse (2153151), we get a palindrome (15137273151).

The spelling of 15135120000 in words is "fifteen billion, one hundred thirty-five million, one hundred twenty thousand".