137384257 has 2 divisors, whose sum is σ = 137384258. Its totient is φ = 137384256.

The previous prime is 137384207. The next prime is 137384311. The reversal of 137384257 is 752483731.

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., 109495296 + 27888961 = 10464^2 + 5281^2 .

It is a cyclic number.

It is not a de Polignac number, because 137384257 - 2¹⁹ = 136859969 is a prime.

It is not a weakly prime, because it can be changed into another prime (137384207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68692128 + 68692129.

It is an arithmetic number, because the mean of its divisors is an integer number (68692129).

Almost surely, 2^137384257 is an apocalyptic number.

It is an amenable number.

137384257 is a deficient number, since it is larger than the sum of its proper divisors (1).

137384257 is an equidigital number, since it uses as much as digits as its factorization.

137384257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 141120, while the sum is 40.

The square root of 137384257 is about 11721.1030624255. The cubic root of 137384257 is about 515.9951938038.

It can be divided in two parts, 137384 and 257, that added together give a square (137641 = 371²).

The spelling of 137384257 in words is "one hundred thirty-seven million, three hundred eighty-four thousand, two hundred fifty-seven".