131564161278 has 96 divisors (see below), whose sum is σ = 328197864960. Its totient is φ = 39019582800.

The previous prime is 131564161277. The next prime is 131564161297. The reversal of 131564161278 is 872161465131.

131564161278 is a `hidden beast` number, since 1 + 3 + 1 + 564 + 1 + 6 + 12 + 78 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131564161271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92893 + ... + 521303.

It is an arithmetic number, because the mean of its divisors is an integer number (3418727760).

Almost surely, 2^131564161278 is an apocalyptic number.

131564161278 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131564161278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164098932480).

131564161278 is an abundant number, since it is smaller than the sum of its proper divisors (196633703682).

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

131564161278 is a wasteful number, since it uses less digits than its factorization.

131564161278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428491 (or 428474 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 131564161278 in words is "one hundred thirty-one billion, five hundred sixty-four million, one hundred sixty-one thousand, two hundred seventy-eight".