131483689239672 has 1728 divisors, whose sum is σ = 490847300536320. Its totient is φ = 32817597120000.

The previous prime is 131483689239647. The next prime is 131483689239677. The reversal of 131483689239672 is 276932986384131.

It is a happy number.

131483689239672 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 83 + 6 + 8 + 92 + 396 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131483689239672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131483689239677) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 53953092438 + ... + 53953094874.

Almost surely, 2^{131483689239672} is an apocalyptic number.

131483689239672 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 131483689239672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245423650268160).

131483689239672 is an abundant number, since it is smaller than the sum of its proper divisors (359363611296648).

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

131483689239672 is a wasteful number, since it uses less digits than its factorization.

131483689239672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2642 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 131483689239672 in words is "one hundred thirty-one trillion, four hundred eighty-three billion, six hundred eighty-nine million, two hundred thirty-nine thousand, six hundred seventy-two".