131742206632960 has 704 divisors, whose sum is σ = 411437872410624. Its totient is φ = 39248569958400.

The previous prime is 131742206632903. The next prime is 131742206632973. The reversal of 131742206632960 is 69236602247131.

It is a tau number, because it is divible by the number of its divisors (704).

It is a junction number, because it is equal to n+sod(n) for n = 131742206632898 and 131742206632907.

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, 14698445439 + ... + 14698454401.

Almost surely, 2^{131742206632960} is an apocalyptic number.

131742206632960 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 131742206632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205718936205312).

131742206632960 is an abundant number, since it is smaller than the sum of its proper divisors (279695665777664).

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

131742206632960 is a wasteful number, since it uses less digits than its factorization.

131742206632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10650 (or 10632 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 52.

The spelling of 131742206632960 in words is "one hundred thirty-one trillion, seven hundred forty-two billion, two hundred six million, six hundred thirty-two thousand, nine hundred sixty".