131928819064 has 64 divisors (see below), whose sum is σ = 297930700800. Its totient is φ = 53502643584.

The previous prime is 131928819013. The next prime is 131928819101. The reversal of 131928819064 is 460918829131.

It is a super-3 number, since 3×131928819064³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846394 + ... + 990070.

It is an arithmetic number, because the mean of its divisors is an integer number (4655167200).

Almost surely, 2^131928819064 is an apocalyptic number.

131928819064 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 131928819064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148965350400).

131928819064 is an abundant number, since it is smaller than the sum of its proper divisors (166001881736).

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

131928819064 is a wasteful number, since it uses less digits than its factorization.

131928819064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144572 (or 144568 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 131928819064 in words is "one hundred thirty-one billion, nine hundred twenty-eight million, eight hundred nineteen thousand, sixty-four".