137753253 has 12 divisors (see below), whose sum is σ = 217065888. Its totient is φ = 83486760.

The previous prime is 137753251. The next prime is 137753267. The reversal of 137753253 is 352357731.

137753253 is a `hidden beast` number, since 1 + 3 + 77 + 532 + 53 = 666.

137753253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137753253 - 2¹ = 137753251 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137753251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 695625 + ... + 695822.

It is an arithmetic number, because the mean of its divisors is an integer number (18088824).

Almost surely, 2^137753253 is an apocalyptic number.

It is an amenable number.

137753253 is a deficient number, since it is larger than the sum of its proper divisors (79312635).

137753253 is a wasteful number, since it uses less digits than its factorization.

137753253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391464 (or 1391461 counting only the distinct ones).

The product of its digits is 66150, while the sum is 36.

The square root of 137753253 is about 11736.8331759466. The cubic root of 137753253 is about 516.4567458461.

The spelling of 137753253 in words is "one hundred thirty-seven million, seven hundred fifty-three thousand, two hundred fifty-three".