137525257 has 8 divisors (see below), whose sum is σ = 151946496. Its totient is φ = 123807552.

The previous prime is 137525239. The next prime is 137525327. The reversal of 137525257 is 752525731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137525257 - 2¹¹ = 137523209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137525057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175473 + ... + 176254.

It is an arithmetic number, because the mean of its divisors is an integer number (18993312).

Almost surely, 2^137525257 is an apocalyptic number.

137525257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137525257 is a deficient number, since it is larger than the sum of its proper divisors (14421239).

137525257 is a wasteful number, since it uses less digits than its factorization.

137525257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351767.

The product of its digits is 73500, while the sum is 37.

The square root of 137525257 is about 11727.1163122057. The cubic root of 137525257 is about 516.1716585799.

The spelling of 137525257 in words is "one hundred thirty-seven million, five hundred twenty-five thousand, two hundred fifty-seven".