15145152 has 112 divisors (see below), whose sum is σ = 44769024. Its totient is φ = 4480000.

The previous prime is 15145129. The next prime is 15145157. The reversal of 15145152 is 25154151.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (15145157) 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, 149902 + ... + 150002.

Almost surely, 2^15145152 is an apocalyptic number.

15145152 is a gapful number since it is divisible by the number (12) 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 15145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22384512).

15145152 is an abundant number, since it is smaller than the sum of its proper divisors (29623872).

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

15145152 is a wasteful number, since it uses less digits than its factorization.

15145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its digits is 1000, while the sum is 24.

The square root of 15145152 is about 3891.6772733617. The cubic root of 15145152 is about 247.4141565368.

It can be divided in two parts, 1514 and 5152, that added together give a palindrome (6666).

The spelling of 15145152 in words is "fifteen million, one hundred forty-five thousand, one hundred fifty-two".