15135042 has 32 divisors (see below), whose sum is σ = 33727680. Its totient is φ = 4495680.

The previous prime is 15135019. The next prime is 15135047. The reversal of 15135042 is 24053151.

15135042 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×15135042³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (15135047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1084 + ... + 5607.

It is an arithmetic number, because the mean of its divisors is an integer number (1053990).

Almost surely, 2^15135042 is an apocalyptic number.

15135042 is an abundant number, since it is smaller than the sum of its proper divisors (18592638).

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

15135042 is a wasteful number, since it uses less digits than its factorization.

15135042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6738.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 15135042 is about 3890.3781307220. The cubic root of 15135042 is about 247.3590913051.

Adding to 15135042 its reverse (24053151), we get a palindrome (39188193).

It can be divided in two parts, 1513 and 5042, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 15135042 in words is "fifteen million, one hundred thirty-five thousand, forty-two".