15152000 has 64 divisors (see below), whose sum is σ = 37711440. Its totient is φ = 6054400.

The previous prime is 15151979. The next prime is 15152003. The reversal of 15152000 is 25151.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15152003) 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 7 ways as a sum of consecutive naturals, for example, 15527 + ... + 16473.

Almost surely, 2^15152000 is an apocalyptic number.

15152000 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 15152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18855720).

15152000 is an abundant number, since it is smaller than the sum of its proper divisors (22559440).

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

15152000 is an frugal number, since it uses more digits than its factorization.

15152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 15152000 is about 3892.5570002249. The cubic root of 15152000 is about 247.4514410057.

Adding to 15152000 its reverse (25151), we get a palindrome (15177151).

The spelling of 15152000 in words is "fifteen million, one hundred fifty-two thousand".