131775685687350 has 144 divisors (see below), whose sum is σ = 354479113469520. Its totient is φ = 35096357376000.

The previous prime is 131775685687307. The next prime is 131775685687351. The reversal of 131775685687350 is 53786586577131.

131775685687350 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 7 + 5 + 6 + 8 + 568 + 7 + 3 + 50 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131775685687351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1448405062 + ... + 1448496038.

It is an arithmetic number, because the mean of its divisors is an integer number (2461660510205).

Almost surely, 2^{131775685687350} is an apocalyptic number.

131775685687350 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 131775685687350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177239556734760).

131775685687350 is an abundant number, since it is smaller than the sum of its proper divisors (222703427782170).

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

131775685687350 is a wasteful number, since it uses less digits than its factorization.

131775685687350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94975 (or 94967 counting only the distinct ones).

The product of its (nonzero) digits is 889056000, while the sum is 72.

The spelling of 131775685687350 in words is "one hundred thirty-one trillion, seven hundred seventy-five billion, six hundred eighty-five million, six hundred eighty-seven thousand, three hundred fifty".