15135456 has 96 divisors (see below), whose sum is σ = 46061568. Its totient is φ = 4262400.

The previous prime is 15135433. The next prime is 15135467. The reversal of 15135456 is 65453151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67761 + ... + 67983.

It is an arithmetic number, because the mean of its divisors is an integer number (479808).

Almost surely, 2^15135456 is an apocalyptic number.

15135456 is a gapful number since it is divisible by the number (16) 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 15135456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23030784).

15135456 is an abundant number, since it is smaller than the sum of its proper divisors (30926112).

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

15135456 is a wasteful number, since it uses less digits than its factorization.

15135456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its digits is 9000, while the sum is 30.

The square root of 15135456 is about 3890.4313385536. The cubic root of 15135456 is about 247.3613466832.

The spelling of 15135456 in words is "fifteen million, one hundred thirty-five thousand, four hundred fifty-six".