15001152 has 112 divisors (see below), whose sum is σ = 42915840. Its totient is φ = 4612608.

The previous prime is 15001141. The next prime is 15001159. The reversal of 15001152 is 25110051.

It is a super-2 number, since 2×15001152² = 450069122654208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15001159) 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, 189849 + ... + 189927.

Almost surely, 2^15001152 is an apocalyptic number.

15001152 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 15001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21457920).

15001152 is an abundant number, since it is smaller than the sum of its proper divisors (27914688).

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

15001152 is a wasteful number, since it uses less digits than its factorization.

15001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 15001152 is about 3873.1320659125. The cubic root of 15001152 is about 246.6275207743.

It can be divided in two parts, 1500 and 1152, that multiplied together give a cube (1728000 = 120³).

The spelling of 15001152 in words is "fifteen million, one thousand, one hundred fifty-two".