137568607 has 32 divisors (see below), whose sum is σ = 172800000. Its totient is φ = 107827200.

The previous prime is 137568593. The next prime is 137568611. The reversal of 137568607 is 706865731.

It is a cyclic number.

It is not a de Polignac number, because 137568607 - 2¹⁹ = 137044319 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137568647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109519 + ... + 110767.

It is an arithmetic number, because the mean of its divisors is an integer number (5400000).

Almost surely, 2^137568607 is an apocalyptic number.

137568607 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

137568607 is a deficient number, since it is larger than the sum of its proper divisors (35231393).

137568607 is a wasteful number, since it uses less digits than its factorization.

137568607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327.

The product of its (nonzero) digits is 211680, while the sum is 43.

The square root of 137568607 is about 11728.9644470431. The cubic root of 137568607 is about 516.2258878689.

The spelling of 137568607 in words is "one hundred thirty-seven million, five hundred sixty-eight thousand, six hundred seven".