131994390528 has 1248 divisors, whose sum is σ = 529518662400. Its totient is φ = 31213486080.

The previous prime is 131994390497. The next prime is 131994390529. The reversal of 131994390528 is 825093499131.

131994390528 is a `hidden beast` number, since 13 + 19 + 9 + 4 + 3 + 90 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×131994390528² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131994390529) 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 95 ways as a sum of consecutive naturals, for example, 1808142300 + ... + 1808142372.

It is an arithmetic number, because the mean of its divisors is an integer number (424293800).

Almost surely, 2^131994390528 is an apocalyptic number.

131994390528 is a gapful number since it is divisible by the number (18) 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 131994390528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264759331200).

131994390528 is an abundant number, since it is smaller than the sum of its proper divisors (397524271872).

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

131994390528 is a wasteful number, since it uses less digits than its factorization.

131994390528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 131994390528 in words is "one hundred thirty-one billion, nine hundred ninety-four million, three hundred ninety thousand, five hundred twenty-eight".