131729218650 has 144 divisors (see below), whose sum is σ = 379677261600. Its totient is φ = 33916397760.

The previous prime is 131729218627. The next prime is 131729218697. The reversal of 131729218650 is 56812927131.

131729218650 is a `hidden beast` number, since 131 + 7 + 292 + 186 + 50 = 666.

It is a super-2 number, since 2×131729218650² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 131729218596 and 131729218605.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 165421 + ... + 539279.

It is an arithmetic number, because the mean of its divisors is an integer number (2636647650).

Almost surely, 2^131729218650 is an apocalyptic number.

131729218650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131729218650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189838630800).

131729218650 is an abundant number, since it is smaller than the sum of its proper divisors (247948042950).

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

131729218650 is a wasteful number, since it uses less digits than its factorization.

131729218650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373915 (or 373898 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 131729218650 in words is "one hundred thirty-one billion, seven hundred twenty-nine million, two hundred eighteen thousand, six hundred fifty".