137846793 has 16 divisors (see below), whose sum is σ = 215730560. Its totient is φ = 76640256.

The previous prime is 137846749. The next prime is 137846809. The reversal of 137846793 is 397648731.

It is not a de Polignac number, because 137846793 - 2²² = 133652489 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137848793) 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, 87928 + ... + 89481.

It is an arithmetic number, because the mean of its divisors is an integer number (13483160).

Almost surely, 2^137846793 is an apocalyptic number.

It is an amenable number.

137846793 is a deficient number, since it is larger than the sum of its proper divisors (77883767).

137846793 is a wasteful number, since it uses less digits than its factorization.

137846793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177456.

The product of its digits is 762048, while the sum is 48.

The square root of 137846793 is about 11740.8173906249. The cubic root of 137846793 is about 516.5736176982.

The spelling of 137846793 in words is "one hundred thirty-seven million, eight hundred forty-six thousand, seven hundred ninety-three".