15152135200 has 144 divisors (see below), whose sum is σ = 39161556000. Its totient is φ = 5708759040.

The previous prime is 15152135197. The next prime is 15152135203. The reversal of 15152135200 is 253125151.

It is an interprime number because it is at equal distance from previous prime (15152135197) and next prime (15152135203).

It is a super-2 number, since 2×15152135200² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (15152135203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2718016 + ... + 2723584.

It is an arithmetic number, because the mean of its divisors is an integer number (271955250).

Almost surely, 2^15152135200 is an apocalyptic number.

15152135200 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 15152135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19580778000).

15152135200 is an abundant number, since it is smaller than the sum of its proper divisors (24009420800).

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

15152135200 is a wasteful number, since it uses less digits than its factorization.

15152135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5787 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The spelling of 15152135200 in words is "fifteen billion, one hundred fifty-two million, one hundred thirty-five thousand, two hundred".