137514331 has 2 divisors, whose sum is σ = 137514332. Its totient is φ = 137514330.

The previous prime is 137514329. The next prime is 137514337. The reversal of 137514331 is 133415731.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 137514331 - 2¹ = 137514329 is a prime.

It is a super-2 number, since 2×137514331² = 37820382460755122, which contains 22 as substring.

Together with 137514329, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 137514331.

It is not a weakly prime, because it can be changed into another prime (137514337) 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 as a sum of consecutive naturals, namely, 68757165 + 68757166.

It is an arithmetic number, because the mean of its divisors is an integer number (68757166).

Almost surely, 2^137514331 is an apocalyptic number.

137514331 is a deficient number, since it is larger than the sum of its proper divisors (1).

137514331 is an equidigital number, since it uses as much as digits as its factorization.

137514331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780, while the sum is 28.

The square root of 137514331 is about 11726.6504595302. The cubic root of 137514331 is about 516.1579887493.

The spelling of 137514331 in words is "one hundred thirty-seven million, five hundred fourteen thousand, three hundred thirty-one".