131506872 has 64 divisors (see below), whose sum is σ = 380916480. Its totient is φ = 37055232.

The previous prime is 131506861. The next prime is 131506873. The reversal of 131506872 is 278605131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131506873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6903 + ... + 17625.

It is an arithmetic number, because the mean of its divisors is an integer number (5951820).

Almost surely, 2^131506872 is an apocalyptic number.

131506872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131506872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190458240).

131506872 is an abundant number, since it is smaller than the sum of its proper divisors (249409608).

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

131506872 is a wasteful number, since it uses less digits than its factorization.

131506872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812 (or 10808 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 131506872 is about 11467.6445707041. The cubic root of 131506872 is about 508.5294972974.

The spelling of 131506872 in words is "one hundred thirty-one million, five hundred six thousand, eight hundred seventy-two".