137742393 has 16 divisors (see below), whose sum is σ = 189939200. Its totient is φ = 88698240.

The previous prime is 137742361. The next prime is 137742421. The reversal of 137742393 is 393247731.

It is not a de Polignac number, because 137742393 - 2⁵ = 137742361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137742793) 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, 64893 + ... + 66981.

It is an arithmetic number, because the mean of its divisors is an integer number (11871200).

Almost surely, 2^137742393 is an apocalyptic number.

It is an amenable number.

137742393 is a deficient number, since it is larger than the sum of its proper divisors (52196807).

137742393 is a wasteful number, since it uses less digits than its factorization.

137742393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832.

The product of its digits is 95256, while the sum is 39.

The square root of 137742393 is about 11736.3705207360. The cubic root of 137742393 is about 516.4431735891.

The spelling of 137742393 in words is "one hundred thirty-seven million, seven hundred forty-two thousand, three hundred ninety-three".