131753288703872 has 128 divisors (see below), whose sum is σ = 291951047731680. Its totient is φ = 58720254566400.

The previous prime is 131753288703779. The next prime is 131753288703973. The reversal of 131753288703872 is 278307882357131.

131753288703872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 131753288703799 and 131753288703808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24806918 + ... + 29646074.

Almost surely, 2^{131753288703872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131753288703872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145975523865840).

131753288703872 is an abundant number, since it is smaller than the sum of its proper divisors (160197759027808).

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

131753288703872 is a wasteful number, since it uses less digits than its factorization.

131753288703872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4839560 (or 4839548 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 65.

The spelling of 131753288703872 in words is "one hundred thirty-one trillion, seven hundred fifty-three billion, two hundred eighty-eight million, seven hundred three thousand, eight hundred seventy-two".