137688251 has 8 divisors (see below), whose sum is σ = 139474800. Its totient is φ = 135907200.

The previous prime is 137688227. The next prime is 137688277. The reversal of 137688251 is 152886731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137688251 - 2¹⁴ = 137671867 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137688199 and 137688208.

It is not an unprimeable number, because it can be changed into a prime (137688751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75551 + ... + 77351.

It is an arithmetic number, because the mean of its divisors is an integer number (17434350).

Almost surely, 2^137688251 is an apocalyptic number.

137688251 is a deficient number, since it is larger than the sum of its proper divisors (1786549).

137688251 is an equidigital number, since it uses as much as digits as its factorization.

137688251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749.

The product of its digits is 80640, while the sum is 41.

The square root of 137688251 is about 11734.0637035939. The cubic root of 137688251 is about 516.3754991183.

The spelling of 137688251 in words is "one hundred thirty-seven million, six hundred eighty-eight thousand, two hundred fifty-one".