137993753 has 2 divisors, whose sum is σ = 137993754. Its totient is φ = 137993752.

The previous prime is 137993747. The next prime is 137993771. The reversal of 137993753 is 357399731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131171209 + 6822544 = 11453^2 + 2612^2 .

It is a cyclic number.

It is not a de Polignac number, because 137993753 - 2⁶ = 137993689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137993698 and 137993707.

It is not a weakly prime, because it can be changed into another prime (137992753) 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, 68996876 + 68996877.

It is an arithmetic number, because the mean of its divisors is an integer number (68996877).

Almost surely, 2^137993753 is an apocalyptic number.

It is an amenable number.

137993753 is a deficient number, since it is larger than the sum of its proper divisors (1).

137993753 is an equidigital number, since it uses as much as digits as its factorization.

137993753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 535815, while the sum is 47.

The square root of 137993753 is about 11747.0742314842. The cubic root of 137993753 is about 516.7571274605.

The spelling of 137993753 in words is "one hundred thirty-seven million, nine hundred ninety-three thousand, seven hundred fifty-three".