137429138 has 48 divisors (see below), whose sum is σ = 267412992. Its totient is φ = 51796800.

The previous prime is 137429129. The next prime is 137429189. The reversal of 137429138 is 831924731.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51206 + ... + 53822.

It is an arithmetic number, because the mean of its divisors is an integer number (5571104).

Almost surely, 2^137429138 is an apocalyptic number.

137429138 is a deficient number, since it is larger than the sum of its proper divisors (129983854).

137429138 is a wasteful number, since it uses less digits than its factorization.

137429138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2668 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 137429138 is about 11723.0174443272. The cubic root of 137429138 is about 516.0513765121.

The spelling of 137429138 in words is "one hundred thirty-seven million, four hundred twenty-nine thousand, one hundred thirty-eight".