131642824320 has 512 divisors, whose sum is σ = 550044057600. Its totient is φ = 29118320640.

The previous prime is 131642824277. The next prime is 131642824331. The reversal of 131642824320 is 23428246131.

131642824320 is a `hidden beast` number, since 1 + 3 + 1 + 642 + 8 + 2 + 4 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3732207 + ... + 3767313.

It is an arithmetic number, because the mean of its divisors is an integer number (1074304800).

Almost surely, 2^131642824320 is an apocalyptic number.

131642824320 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 131642824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275022028800).

131642824320 is an abundant number, since it is smaller than the sum of its proper divisors (418401233280).

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

131642824320 is a wasteful number, since it uses less digits than its factorization.

131642824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35173 (or 35155 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 131642824320 in words is "one hundred thirty-one billion, six hundred forty-two million, eight hundred twenty-four thousand, three hundred twenty".