137681657 has 32 divisors (see below), whose sum is σ = 164229120. Its totient is φ = 114428160.

The previous prime is 137681653. The next prime is 137681669. The reversal of 137681657 is 756186731.

It is not a de Polignac number, because 137681657 - 2² = 137681653 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137681653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319232 + ... + 319662.

It is an arithmetic number, because the mean of its divisors is an integer number (5132160).

Almost surely, 2^137681657 is an apocalyptic number.

137681657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137681657 is a deficient number, since it is larger than the sum of its proper divisors (26547463).

137681657 is a wasteful number, since it uses less digits than its factorization.

137681657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533.

The product of its digits is 211680, while the sum is 44.

The square root of 137681657 is about 11733.7827234017. The cubic root of 137681657 is about 516.3672557754.

The spelling of 137681657 in words is "one hundred thirty-seven million, six hundred eighty-one thousand, six hundred fifty-seven".