131569928640 has 448 divisors, whose sum is σ = 486665625600. Its totient is φ = 33398120448.

The previous prime is 131569928591. The next prime is 131569928647. The reversal of 131569928640 is 46829965131.

131569928640 is a `hidden beast` number, since 1 + 31 + 569 + 9 + 2 + 8 + 6 + 40 = 666.

It is a super-2 number, since 2×131569928640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131569928647) 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 63 ways as a sum of consecutive naturals, for example, 44313076 + ... + 44316044.

It is an arithmetic number, because the mean of its divisors is an integer number (1086307200).

Almost surely, 2^131569928640 is an apocalyptic number.

131569928640 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 131569928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243332812800).

131569928640 is an abundant number, since it is smaller than the sum of its proper divisors (355095696960).

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

131569928640 is a wasteful number, since it uses less digits than its factorization.

131569928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 131569928640 in words is "one hundred thirty-one billion, five hundred sixty-nine million, nine hundred twenty-eight thousand, six hundred forty".