131207175 has 96 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 61920000.

The previous prime is 131207161. The next prime is 131207177. The reversal of 131207175 is 571702131.

It is a happy number.

It is not a de Polignac number, because 131207175 - 2²² = 127012871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131207177) 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 95 ways as a sum of consecutive naturals, for example, 304210 + ... + 304640.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^131207175 is an apocalyptic number.

131207175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131207175 is an abundant number, since it is smaller than the sum of its proper divisors (138775545).

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

131207175 is a wasteful number, since it uses less digits than its factorization.

131207175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 131207175 is about 11454.5700486749. The cubic root of 131207175 is about 508.1428997929.

The spelling of 131207175 in words is "one hundred thirty-one million, two hundred seven thousand, one hundred seventy-five".