15345120 has 96 divisors (see below), whose sum is σ = 55254528. Its totient is φ = 3506688.

The previous prime is 15345119. The next prime is 15345139. The reversal of 15345120 is 2154351.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1077 + ... + 5643.

It is an arithmetic number, because the mean of its divisors is an integer number (575568).

Almost surely, 2^15345120 is an apocalyptic number.

15345120 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 15345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27627264).

15345120 is an abundant number, since it is smaller than the sum of its proper divisors (39909408).

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

15345120 is a wasteful number, since it uses less digits than its factorization.

15345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 15345120 is about 3917.2847739219. The cubic root of 15345120 is about 248.4983043687.

Adding to 15345120 its reverse (2154351), we get a palindrome (17499471).

The spelling of 15345120 in words is "fifteen million, three hundred forty-five thousand, one hundred twenty".