131335776 has 192 divisors, whose sum is σ = 450455040. Its totient is φ = 36702720.

The previous prime is 131335703. The next prime is 131335777. The reversal of 131335776 is 677533131.

It is a happy number.

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 131335776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131335777) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 123021 + ... + 124083.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 2^131335776 is an apocalyptic number.

131335776 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 131335776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225227520).

131335776 is an abundant number, since it is smaller than the sum of its proper divisors (319119264).

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

131335776 is a wasteful number, since it uses less digits than its factorization.

131335776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1092 counting only the distinct ones).

The product of its digits is 39690, while the sum is 36.

The square root of 131335776 is about 11460.1821975045. The cubic root of 131335776 is about 508.3088621263.

The spelling of 131335776 in words is "one hundred thirty-one million, three hundred thirty-five thousand, seven hundred seventy-six".