137501393 has 2 divisors, whose sum is σ = 137501394. Its totient is φ = 137501392.

The previous prime is 137501387. The next prime is 137501411. The reversal of 137501393 is 393105731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105431824 + 32069569 = 10268^2 + 5663^2 .

It is a cyclic number.

It is not a de Polignac number, because 137501393 - 2¹⁴ = 137485009 is a prime.

It is not a weakly prime, because it can be changed into another prime (137501323) 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, 68750696 + 68750697.

It is an arithmetic number, because the mean of its divisors is an integer number (68750697).

Almost surely, 2^137501393 is an apocalyptic number.

It is an amenable number.

137501393 is a deficient number, since it is larger than the sum of its proper divisors (1).

137501393 is an equidigital number, since it uses as much as digits as its factorization.

137501393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8505, while the sum is 32.

The square root of 137501393 is about 11726.0987971277. The cubic root of 137501393 is about 516.1418007116.

The spelling of 137501393 in words is "one hundred thirty-seven million, five hundred one thousand, three hundred ninety-three".