138042429 has 48 divisors (see below), whose sum is σ = 225308160. Its totient is φ = 73625760.

The previous prime is 138042403. The next prime is 138042439. The reversal of 138042429 is 924240831.

138042429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138042429 - 2⁸ = 138042173 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138042429.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138042439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993042 + ... + 993180.

It is an arithmetic number, because the mean of its divisors is an integer number (4693920).

Almost surely, 2^138042429 is an apocalyptic number.

138042429 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

138042429 is a deficient number, since it is larger than the sum of its proper divisors (87265731).

138042429 is a wasteful number, since it uses less digits than its factorization.

138042429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 138042429 is about 11749.1458838505. The cubic root of 138042429 is about 516.8178807251.

The spelling of 138042429 in words is "one hundred thirty-eight million, forty-two thousand, four hundred twenty-nine".