15142968 has 24 divisors (see below), whose sum is σ = 41012400. Its totient is φ = 5047632.

The previous prime is 15142921. The next prime is 15142969. The reversal of 15142968 is 86924151.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15142969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105088 + ... + 105231.

It is an arithmetic number, because the mean of its divisors is an integer number (1708850).

Almost surely, 2^15142968 is an apocalyptic number.

15142968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

15142968 is an abundant number, since it is smaller than the sum of its proper divisors (25869432).

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

15142968 is a wasteful number, since it uses less digits than its factorization.

15142968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210331 (or 210324 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 15142968 is about 3891.3966644381. The cubic root of 15142968 is about 247.4022632151.

It can be divided in two parts, 15142 and 968, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 15142968 in words is "fifteen million, one hundred forty-two thousand, nine hundred sixty-eight".