15142000 has 80 divisors (see below), whose sum is σ = 37488672. Its totient is φ = 5913600.

The previous prime is 15141983. The next prime is 15142013. The reversal of 15142000 is 24151.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 133944 + ... + 134056.

Almost surely, 2^15142000 is an apocalyptic number.

15142000 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 15142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18744336).

15142000 is an abundant number, since it is smaller than the sum of its proper divisors (22346672).

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

15142000 is a wasteful number, since it uses less digits than its factorization.

15142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 15142000 is about 3891.2722855128. The cubic root of 15142000 is about 247.3969914504.

Adding to 15142000 its reverse (24151), we get a palindrome (15166151).

The spelling of 15142000 in words is "fifteen million, one hundred forty-two thousand".