15102000 has 120 divisors (see below), whose sum is σ = 52809120. Its totient is φ = 4022400.

The previous prime is 15101969. The next prime is 15102019. The reversal of 15102000 is 20151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17581 + ... + 18419.

It is an arithmetic number, because the mean of its divisors is an integer number (440076).

Almost surely, 2^15102000 is an apocalyptic number.

15102000 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 15102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26404560).

15102000 is an abundant number, since it is smaller than the sum of its proper divisors (37707120).

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

15102000 is a wasteful number, since it uses less digits than its factorization.

15102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 15102000 is about 3886.1291795307. The cubic root of 15102000 is about 247.1789531834.

Adding to 15102000 its reverse (20151), we get a palindrome (15122151).

The spelling of 15102000 in words is "fifteen million, one hundred two thousand".