131487828120 has 320 divisors, whose sum is σ = 482718852000. Its totient is φ = 31836395520.

The previous prime is 131487828107. The next prime is 131487828127. The reversal of 131487828120 is 21828784131.

131487828120 is a `hidden beast` number, since 13 + 1 + 487 + 82 + 81 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131487828127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37384602 + ... + 37388118.

Almost surely, 2^131487828120 is an apocalyptic number.

131487828120 is a gapful number since it is divisible by the number (10) 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 131487828120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241359426000).

131487828120 is an abundant number, since it is smaller than the sum of its proper divisors (351231023880).

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

131487828120 is a wasteful number, since it uses less digits than its factorization.

131487828120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 131487828120 in words is "one hundred thirty-one billion, four hundred eighty-seven million, eight hundred twenty-eight thousand, one hundred twenty".