131699251728 has 300 divisors, whose sum is σ = 428744041264. Its totient is φ = 38978755200.

The previous prime is 131699251727. The next prime is 131699251751. The reversal of 131699251728 is 827152996131.

It is a happy number.

131699251728 is a `hidden beast` number, since 1 + 3 + 16 + 9 + 92 + 517 + 28 = 666.

It is a super-2 number, since 2×131699251728² (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 not an unprimeable number, because it can be changed into a prime (131699251727) 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 59 ways as a sum of consecutive naturals, for example, 6733323 + ... + 6752853.

Almost surely, 2^131699251728 is an apocalyptic number.

131699251728 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 131699251728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214372020632).

131699251728 is an abundant number, since it is smaller than the sum of its proper divisors (297044789536).

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

131699251728 is a wasteful number, since it uses less digits than its factorization.

131699251728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19616 (or 19590 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The spelling of 131699251728 in words is "one hundred thirty-one billion, six hundred ninety-nine million, two hundred fifty-one thousand, seven hundred twenty-eight".