131387616 has 96 divisors (see below), whose sum is σ = 392666400. Its totient is φ = 42716160.

The previous prime is 131387593. The next prime is 131387647. The reversal of 131387616 is 616783131.

131387616 is a `hidden beast` number, since 1 + 3 + 1 + 38 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 33570 + ... + 37278.

It is an arithmetic number, because the mean of its divisors is an integer number (4090275).

Almost surely, 2^131387616 is an apocalyptic number.

131387616 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 131387616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196333200).

131387616 is an abundant number, since it is smaller than the sum of its proper divisors (261278784).

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

131387616 is a wasteful number, since it uses less digits than its factorization.

131387616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3755 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 131387616 is about 11462.4437185096. The cubic root of 131387616 is about 508.3757321140.

The spelling of 131387616 in words is "one hundred thirty-one million, three hundred eighty-seven thousand, six hundred sixteen".