15132120 has 64 divisors (see below), whose sum is σ = 46379520. Its totient is φ = 3947904.

The previous prime is 15132119. The next prime is 15132121. The reversal of 15132120 is 2123151.

It is an interprime number because it is at equal distance from previous prime (15132119) and next prime (15132121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 15132120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15132121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4299 + ... + 6981.

It is an arithmetic number, because the mean of its divisors is an integer number (724680).

Almost surely, 2^15132120 is an apocalyptic number.

15132120 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 15132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23189760).

15132120 is an abundant number, since it is smaller than the sum of its proper divisors (31247400).

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

15132120 is a wasteful number, since it uses less digits than its factorization.

15132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 15132120 is about 3890.0025706932. The cubic root of 15132120 is about 247.3431717416.

Adding to 15132120 its reverse (2123151), we get a palindrome (17255271).

The spelling of 15132120 in words is "fifteen million, one hundred thirty-two thousand, one hundred twenty".