137381265 has 96 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 60528384.

The previous prime is 137381261. The next prime is 137381287. The reversal of 137381265 is 562183731.

137381265 is a `hidden beast` number, since 13 + 7 + 381 + 265 = 666.

It is not a de Polignac number, because 137381265 - 2² = 137381261 is a prime.

It is a super-2 number, since 2×137381265² = 37747223946000450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137381261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246367 + ... + 246923.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^137381265 is an apocalyptic number.

137381265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137381265 is an abundant number, since it is smaller than the sum of its proper divisors (155100015).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137381265 is an equidigital number, since it uses as much as digits as its factorization.

137381265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 601 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 137381265 is about 11720.9754286919. The cubic root of 137381265 is about 515.9914479383.

The spelling of 137381265 in words is "one hundred thirty-seven million, three hundred eighty-one thousand, two hundred sixty-five".