137407527 has 12 divisors (see below), whose sum is σ = 198615144. Its totient is φ = 91541520.

The previous prime is 137407511. The next prime is 137407547. The reversal of 137407527 is 725704731.

It is not a de Polignac number, because 137407527 - 2⁴ = 137407511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137407491 and 137407500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137407547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11077 + ... + 19937.

It is an arithmetic number, because the mean of its divisors is an integer number (16551262).

Almost surely, 2^137407527 is an apocalyptic number.

137407527 is a deficient number, since it is larger than the sum of its proper divisors (61207617).

137407527 is a wasteful number, since it uses less digits than its factorization.

137407527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10590 (or 10587 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 137407527 is about 11722.0956744091. The cubic root of 137407527 is about 516.0243250656.

The spelling of 137407527 in words is "one hundred thirty-seven million, four hundred seven thousand, five hundred twenty-seven".