131347008 has 140 divisors (see below), whose sum is σ = 419519100. Its totient is φ = 40393728.

The previous prime is 131346979. The next prime is 131347033. The reversal of 131347008 is 800743131.

It can be written as a sum of positive squares in 2 ways, for example, as 61591104 + 69755904 = 7848^2 + 8352^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66418 + ... + 68366.

It is an arithmetic number, because the mean of its divisors is an integer number (2996565).

Almost surely, 2^131347008 is an apocalyptic number.

131347008 is a gapful number since it is divisible by the number (18) 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 131347008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209759550).

131347008 is an abundant number, since it is smaller than the sum of its proper divisors (288172092).

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

131347008 is a wasteful number, since it uses less digits than its factorization.

131347008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 131347008 is about 11460.6722315927. The cubic root of 131347008 is about 508.3233521167.

The spelling of 131347008 in words is "one hundred thirty-one million, three hundred forty-seven thousand, eight".