131674803288 has 256 divisors, whose sum is σ = 410852736000. Its totient is φ = 34308341760.

The previous prime is 131674803283. The next prime is 131674803319. The reversal of 131674803288 is 882308476131.

It is a super-3 number, since 3×131674803288³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 131674803288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131674803283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17443531 + ... + 17451077.

It is an arithmetic number, because the mean of its divisors is an integer number (1604893500).

Almost surely, 2^131674803288 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 131674803288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205426368000).

131674803288 is an abundant number, since it is smaller than the sum of its proper divisors (279177932712).

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

131674803288 is a wasteful number, since it uses less digits than its factorization.

131674803288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770 (or 7766 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 131674803288 in words is "one hundred thirty-one billion, six hundred seventy-four million, eight hundred three thousand, two hundred eighty-eight".