137535457 has 8 divisors (see below), whose sum is σ = 149013216. Its totient is φ = 126434112.

The previous prime is 137535421. The next prime is 137535479. The reversal of 137535457 is 754535731.

It is a happy number.

137535457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 137535457 - 2¹⁹ = 137011169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137535407) 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, 93343 + ... + 94804.

It is an arithmetic number, because the mean of its divisors is an integer number (18626652).

Almost surely, 2^137535457 is an apocalyptic number.

137535457 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137535457 is a deficient number, since it is larger than the sum of its proper divisors (11477759).

137535457 is a wasteful number, since it uses less digits than its factorization.

137535457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188207.

The product of its digits is 220500, while the sum is 40.

The square root of 137535457 is about 11727.5511936636. The cubic root of 137535457 is about 516.1844194377.

The spelling of 137535457 in words is "one hundred thirty-seven million, five hundred thirty-five thousand, four hundred fifty-seven".