137431501 has 2 divisors, whose sum is σ = 137431502. Its totient is φ = 137431500.

The previous prime is 137431499. The next prime is 137431517. The reversal of 137431501 is 105134731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96138025 + 41293476 = 9805^2 + 6426^2 .

It is a cyclic number.

It is not a de Polignac number, because 137431501 - 2¹ = 137431499 is a prime.

It is a super-2 number, since 2×137431501² = 37774834934226002, which contains 22 as substring.

Together with 137431499, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137431571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68715750 + 68715751.

It is an arithmetic number, because the mean of its divisors is an integer number (68715751).

Almost surely, 2^137431501 is an apocalyptic number.

It is an amenable number.

137431501 is a deficient number, since it is larger than the sum of its proper divisors (1).

137431501 is an equidigital number, since it uses as much as digits as its factorization.

137431501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 137431501 is about 11723.1182285261. The cubic root of 137431501 is about 516.0543342120.

The spelling of 137431501 in words is "one hundred thirty-seven million, four hundred thirty-one thousand, five hundred one".