137035457 has 8 divisors (see below), whose sum is σ = 151565736. Its totient is φ = 123075072.

The previous prime is 137035441. The next prime is 137035471. The reversal of 137035457 is 754530731.

137035457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43507216 + 93528241 = 6596^2 + 9671^2 .

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 137035457 - 2⁴ = 137035441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137035057) 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, 141968 + ... + 142929.

It is an arithmetic number, because the mean of its divisors is an integer number (18945717).

Almost surely, 2^137035457 is an apocalyptic number.

It is an amenable number.

137035457 is a deficient number, since it is larger than the sum of its proper divisors (14530279).

137035457 is a wasteful number, since it uses less digits than its factorization.

137035457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284947.

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 137035457 is about 11706.2144607042. The cubic root of 137035457 is about 515.5581431137.

The spelling of 137035457 in words is "one hundred thirty-seven million, thirty-five thousand, four hundred fifty-seven".