131957007 has 32 divisors (see below), whose sum is σ = 219018240. Its totient is φ = 68808960.

The previous prime is 131956997. The next prime is 131957011. The reversal of 131957007 is 700759131.

It is not a de Polignac number, because 131957007 - 2⁶ = 131956943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131957107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21582 + ... + 27012.

It is an arithmetic number, because the mean of its divisors is an integer number (6844320).

Almost surely, 2^131957007 is an apocalyptic number.

131957007 is a deficient number, since it is larger than the sum of its proper divisors (87061233).

131957007 is a wasteful number, since it uses less digits than its factorization.

131957007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5543.

The product of its (nonzero) digits is 6615, while the sum is 33.

The square root of 131957007 is about 11487.2541105349. The cubic root of 131957007 is about 509.1090519170.

It can be divided in two parts, 13195 and 7007, that added together give a palindrome (20202).

The spelling of 131957007 in words is "one hundred thirty-one million, nine hundred fifty-seven thousand, seven".