137785253 has 2 divisors, whose sum is σ = 137785254. Its totient is φ = 137785252.

The previous prime is 137785183. The next prime is 137785267. The reversal of 137785253 is 352587731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132319009 + 5466244 = 11503^2 + 2338^2 .

It is a cyclic number.

It is not a de Polignac number, because 137785253 - 2¹⁶ = 137719717 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137785253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137785273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68892626 + 68892627.

It is an arithmetic number, because the mean of its divisors is an integer number (68892627).

Almost surely, 2^137785253 is an apocalyptic number.

It is an amenable number.

137785253 is a deficient number, since it is larger than the sum of its proper divisors (1).

137785253 is an equidigital number, since it uses as much as digits as its factorization.

137785253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 176400, while the sum is 41.

The square root of 137785253 is about 11738.1963265231. The cubic root of 137785253 is about 516.4967336164.

The spelling of 137785253 in words is "one hundred thirty-seven million, seven hundred eighty-five thousand, two hundred fifty-three".