131007826158 has 64 divisors (see below), whose sum is σ = 288896889600. Its totient is φ = 39275228160.

The previous prime is 131007826151. The next prime is 131007826199. The reversal of 131007826158 is 851628700131.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131007826151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4828033 + ... + 4855091.

It is an arithmetic number, because the mean of its divisors is an integer number (4514013900).

Almost surely, 2^131007826158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131007826158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144448444800).

131007826158 is an abundant number, since it is smaller than the sum of its proper divisors (157889063442).

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

131007826158 is a wasteful number, since it uses less digits than its factorization.

131007826158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27857.

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 131007826158 in words is "one hundred thirty-one billion, seven million, eight hundred twenty-six thousand, one hundred fifty-eight".