137713275 has 54 divisors (see below), whose sum is σ = 286953732. Its totient is φ = 62949600.

The previous prime is 137713271. The next prime is 137713283. The reversal of 137713275 is 572317731.

137713275 is a `hidden beast` number, since 1 + 377 + 13 + 275 = 666.

It is not a de Polignac number, because 137713275 - 2² = 137713271 is a prime.

It is a super-2 number, since 2×137713275² = 37929892222451250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137713271) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4780 + ... + 17270.

It is an arithmetic number, because the mean of its divisors is an integer number (5313958).

Almost surely, 2^137713275 is an apocalyptic number.

137713275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137713275 is an abundant number, since it is smaller than the sum of its proper divisors (149240457).

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

137713275 is a wasteful number, since it uses less digits than its factorization.

137713275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12521 (or 12506 counting only the distinct ones).

The product of its digits is 30870, while the sum is 36.

The square root of 137713275 is about 11735.1299524121. The cubic root of 137713275 is about 516.4067799227.

The spelling of 137713275 in words is "one hundred thirty-seven million, seven hundred thirteen thousand, two hundred seventy-five".