15144948 has 192 divisors, whose sum is σ = 51179520. Its totient is φ = 3763584.

The previous prime is 15144929. The next prime is 15144953. The reversal of 15144948 is 84944151.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226011 + ... + 226077.

It is an arithmetic number, because the mean of its divisors is an integer number (266560).

Almost surely, 2^15144948 is an apocalyptic number.

15144948 is a gapful number since it is divisible by the number (18) 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 15144948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25589760).

15144948 is an abundant number, since it is smaller than the sum of its proper divisors (36034572).

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

15144948 is a wasteful number, since it uses less digits than its factorization.

15144948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 15144948 is about 3891.6510634948. The cubic root of 15144948 is about 247.4130456706.

The spelling of 15144948 in words is "fifteen million, one hundred forty-four thousand, nine hundred forty-eight".