15085152 has 36 divisors (see below), whose sum is σ = 42899220. Its totient is φ = 5028288.

The previous prime is 15085141. The next prime is 15085153. The reversal of 15085152 is 25158051.

15085152 is a `hidden beast` number, since 1 + 508 + 5 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15085153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25902 + ... + 26477.

It is an arithmetic number, because the mean of its divisors is an integer number (1191645).

Almost surely, 2^15085152 is an apocalyptic number.

15085152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15085152 is an abundant number, since it is smaller than the sum of its proper divisors (27814068).

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

15085152 is a wasteful number, since it uses less digits than its factorization.

15085152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52395 (or 52384 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 15085152 is about 3883.9608648904. The cubic root of 15085152 is about 247.0870002277.

The spelling of 15085152 in words is "fifteen million, eighty-five thousand, one hundred fifty-two".