131338476 has 48 divisors (see below), whose sum is σ = 342343680. Its totient is φ = 43543440.

The previous prime is 131338463. The next prime is 131338499. The reversal of 131338476 is 674833131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131338476.

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, 17445 + ... + 23811.

It is an arithmetic number, because the mean of its divisors is an integer number (7132160).

Almost surely, 2^131338476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131338476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171171840).

131338476 is an abundant number, since it is smaller than the sum of its proper divisors (211005204).

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

131338476 is a wasteful number, since it uses less digits than its factorization.

131338476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571 (or 6563 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 131338476 is about 11460.2999960734. The cubic root of 131338476 is about 508.3123453725.

It can be divided in two parts, 13133 and 8476, that added together give a square (21609 = 147²).

The spelling of 131338476 in words is "one hundred thirty-one million, three hundred thirty-eight thousand, four hundred seventy-six".