131019480576 has 120 divisors (see below), whose sum is σ = 381803650800. Its totient is φ = 43248992256.

The previous prime is 131019480541. The next prime is 131019480619. The reversal of 131019480576 is 675084910131.

131019480576 is a `hidden beast` number, since 1 + 31 + 0 + 1 + 9 + 48 + 0 + 576 = 666.

It is a super-2 number, since 2×131019480576² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336600 + ... + 612648.

It is an arithmetic number, because the mean of its divisors is an integer number (3181697090).

Almost surely, 2^131019480576 is an apocalyptic number.

131019480576 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 131019480576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190901825400).

131019480576 is an abundant number, since it is smaller than the sum of its proper divisors (250784170224).

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

131019480576 is a wasteful number, since it uses less digits than its factorization.

131019480576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276176 (or 276157 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 131019480576 in words is "one hundred thirty-one billion, nineteen million, four hundred eighty thousand, five hundred seventy-six".