15145920 has 112 divisors (see below), whose sum is σ = 53461920. Its totient is φ = 4036608.

The previous prime is 15145909. The next prime is 15145927. The reversal of 15145920 is 2954151.

15145920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15145927) 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, 7764 + ... + 9516.

Almost surely, 2^15145920 is an apocalyptic number.

15145920 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 15145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26730960).

15145920 is an abundant number, since it is smaller than the sum of its proper divisors (38316000).

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

15145920 is a wasteful number, since it uses less digits than its factorization.

15145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 15145920 is about 3891.7759442188. The cubic root of 15145920 is about 247.4183385321.

The spelling of 15145920 in words is "fifteen million, one hundred forty-five thousand, nine hundred twenty".