137018657 has 12 divisors (see below), whose sum is σ = 146457540. Its totient is φ = 128186528.

The previous prime is 137018653. The next prime is 137018663. The reversal of 137018657 is 756810731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 75411856 + 61606801 = 8684^2 + 7849^2 .

It is not a de Polignac number, because 137018657 - 2² = 137018653 is a prime.

It is a super-2 number, since 2×137018657² = 37548224732167298, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137018657.

It is not an unprimeable number, because it can be changed into a prime (137018653) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820388 + ... + 820554.

It is an arithmetic number, because the mean of its divisors is an integer number (12204795).

Almost surely, 2^137018657 is an apocalyptic number.

137018657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137018657 is a deficient number, since it is larger than the sum of its proper divisors (9438883).

137018657 is an frugal number, since it uses more digits than its factorization.

137018657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 137018657 is about 11705.4968711285. The cubic root of 137018657 is about 515.5370737959.

The spelling of 137018657 in words is "one hundred thirty-seven million, eighteen thousand, six hundred fifty-seven".