137539253 has 2 divisors, whose sum is σ = 137539254. Its totient is φ = 137539252.

The previous prime is 137539229. The next prime is 137539273. The reversal of 137539253 is 352935731.

137539253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128640964 + 8898289 = 11342^2 + 2983^2 .

It is a cyclic number.

It is not a de Polignac number, because 137539253 - 2⁶ = 137539189 is a prime.

It is a super-2 number, since 2×137539253² = 37834092231596018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137539223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68769626 + 68769627.

It is an arithmetic number, because the mean of its divisors is an integer number (68769627).

Almost surely, 2^137539253 is an apocalyptic number.

It is an amenable number.

137539253 is a deficient number, since it is larger than the sum of its proper divisors (1).

137539253 is an equidigital number, since it uses as much as digits as its factorization.

137539253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 85050, while the sum is 38.

The square root of 137539253 is about 11727.7130336652. The cubic root of 137539253 is about 516.1891683174.

The spelling of 137539253 in words is "one hundred thirty-seven million, five hundred thirty-nine thousand, two hundred fifty-three".