137171793 has 32 divisors (see below), whose sum is σ = 220465152. Its totient is φ = 74835200.

The previous prime is 137171789. The next prime is 137171819. The reversal of 137171793 is 397171731.

It is not a de Polignac number, because 137171793 - 2² = 137171789 is a prime.

It is a super-2 number, since 2×137171793² = 37632201589669698, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137171743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7588 + ... + 18218.

It is an arithmetic number, because the mean of its divisors is an integer number (6889536).

Almost surely, 2^137171793 is an apocalyptic number.

It is an amenable number.

137171793 is a deficient number, since it is larger than the sum of its proper divisors (83293359).

137171793 is a wasteful number, since it uses less digits than its factorization.

137171793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10685.

The product of its digits is 27783, while the sum is 39.

The square root of 137171793 is about 11712.0362448210. The cubic root of 137171793 is about 515.7290619870.

The spelling of 137171793 in words is "one hundred thirty-seven million, one hundred seventy-one thousand, seven hundred ninety-three".