137456917 has 16 divisors (see below), whose sum is σ = 157196592. Its totient is φ = 119070720.

The previous prime is 137456911. The next prime is 137456927. The reversal of 137456917 is 719654731.

It can be written as a sum of positive squares in 8 ways, for example, as 75076 + 137381841 = 274^2 + 11721^2 .

It is not a de Polignac number, because 137456917 - 2⁷ = 137456789 is a prime.

It is a super-2 number, since 2×137456917² = 37788808062289778, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137456911) 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, 100317 + ... + 101677.

It is an arithmetic number, because the mean of its divisors is an integer number (9824787).

Almost surely, 2^137456917 is an apocalyptic number.

137456917 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137456917 is a deficient number, since it is larger than the sum of its proper divisors (19739675).

137456917 is a wasteful number, since it uses less digits than its factorization.

137456917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848.

The product of its digits is 158760, while the sum is 43.

The square root of 137456917 is about 11724.2021903411. The cubic root of 137456917 is about 516.0861445524.

The spelling of 137456917 in words is "one hundred thirty-seven million, four hundred fifty-six thousand, nine hundred seventeen".