131128268544 has 432 divisors, whose sum is σ = 467051579904. Its totient is φ = 34454937600.

The previous prime is 131128268533. The next prime is 131128268591. The reversal of 131128268544 is 445862821131.

131128268544 is a `hidden beast` number, since 1 + 31 + 12 + 8 + 2 + 68 + 544 = 666.

131128268544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131128268544² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131128268544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65204499 + ... + 65206509.

Almost surely, 2^131128268544 is an apocalyptic number.

131128268544 is a gapful number since it is divisible by the number (14) 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 131128268544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233525789952).

131128268544 is an abundant number, since it is smaller than the sum of its proper divisors (335923311360).

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

131128268544 is a wasteful number, since it uses less digits than its factorization.

131128268544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2347 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 131128268544 in words is "one hundred thirty-one billion, one hundred twenty-eight million, two hundred sixty-eight thousand, five hundred forty-four".