131307616 has 48 divisors (see below), whose sum is σ = 283400208. Its totient is φ = 59392000.

The previous prime is 131307607. The next prime is 131307629. The reversal of 131307616 is 616703131.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81216 + ... + 82816.

It is an arithmetic number, because the mean of its divisors is an integer number (5904171).

Almost surely, 2^131307616 is an apocalyptic number.

131307616 is a gapful number since it is divisible by the number (16) 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 131307616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141700104).

131307616 is an abundant number, since it is smaller than the sum of its proper divisors (152092592).

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

131307616 is a wasteful number, since it uses less digits than its factorization.

131307616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 131307616 is about 11458.9535298822. The cubic root of 131307616 is about 508.2725303130.

The spelling of 131307616 in words is "one hundred thirty-one million, three hundred seven thousand, six hundred sixteen".