15142341200 has 120 divisors (see below), whose sum is σ = 41712627840. Its totient is φ = 5174668800.

The previous prime is 15142341079. The next prime is 15142341211. The reversal of 15142341200 is 214324151.

It is a congruent number.

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, 862106 + ... + 879494.

It is an arithmetic number, because the mean of its divisors is an integer number (347605232).

Almost surely, 2^15142341200 is an apocalyptic number.

15142341200 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 15142341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20856313920).

15142341200 is an abundant number, since it is smaller than the sum of its proper divisors (26570286640).

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

15142341200 is a wasteful number, since it uses less digits than its factorization.

15142341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17725 (or 17714 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 15142341200 its reverse (214324151), we get a palindrome (15356665351).

The spelling of 15142341200 in words is "fifteen billion, one hundred forty-two million, three hundred forty-one thousand, two hundred".