137624393 has 2 divisors, whose sum is σ = 137624394. Its totient is φ = 137624392.

The previous prime is 137624359. The next prime is 137624471. The reversal of 137624393 is 393426731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73496329 + 64128064 = 8573^2 + 8008^2 .

It is a cyclic number.

It is not a de Polignac number, because 137624393 - 2¹⁶ = 137558857 is a prime.

It is not a weakly prime, because it can be changed into another prime (137624303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68812196 + 68812197.

It is an arithmetic number, because the mean of its divisors is an integer number (68812197).

Almost surely, 2^137624393 is an apocalyptic number.

It is an amenable number.

137624393 is a deficient number, since it is larger than the sum of its proper divisors (1).

137624393 is an equidigital number, since it uses as much as digits as its factorization.

137624393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81648, while the sum is 38.

The square root of 137624393 is about 11731.3423358114. The cubic root of 137624393 is about 516.2956573854.

The spelling of 137624393 in words is "one hundred thirty-seven million, six hundred twenty-four thousand, three hundred ninety-three".