131337612 has 144 divisors (see below), whose sum is σ = 399526400. Its totient is φ = 36951552.

The previous prime is 131337601. The next prime is 131337629. The reversal of 131337612 is 216733131.

131337612 is a `hidden beast` number, since 1 + 3 + 13 + 37 + 612 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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 47 ways as a sum of consecutive naturals, for example, 659889 + ... + 660087.

Almost surely, 2^131337612 is an apocalyptic number.

131337612 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 131337612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199763200).

131337612 is an abundant number, since it is smaller than the sum of its proper divisors (268188788).

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

131337612 is a wasteful number, since it uses less digits than its factorization.

131337612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 308 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 131337612 is about 11460.2623006631. The cubic root of 131337612 is about 508.3112307389.

The spelling of 131337612 in words is "one hundred thirty-one million, three hundred thirty-seven thousand, six hundred twelve".