15137952 has 48 divisors (see below), whose sum is σ = 40061952. Its totient is φ = 5004800.

The previous prime is 15137929. The next prime is 15137957. The reversal of 15137952 is 25973151.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (15137957) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12577 + ... + 13727.

It is an arithmetic number, because the mean of its divisors is an integer number (834624).

Almost surely, 2^15137952 is an apocalyptic number.

15137952 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 15137952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20030976).

15137952 is an abundant number, since it is smaller than the sum of its proper divisors (24924000).

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

15137952 is a wasteful number, since it uses less digits than its factorization.

15137952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1293 counting only the distinct ones).

The product of its digits is 9450, while the sum is 33.

The square root of 15137952 is about 3890.7521123814. The cubic root of 15137952 is about 247.3749434542.

The spelling of 15137952 in words is "fifteen million, one hundred thirty-seven thousand, nine hundred fifty-two".