131626361152 has 168 divisors, whose sum is σ = 309168515520. Its totient is φ = 55116472320.

The previous prime is 131626361137. The next prime is 131626361171. The reversal of 131626361152 is 251163626131.

131626361152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88398424 + ... + 88399912.

Almost surely, 2^131626361152 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 131626361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154584257760).

131626361152 is an abundant number, since it is smaller than the sum of its proper divisors (177542154368).

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

131626361152 is a wasteful number, since it uses less digits than its factorization.

131626361152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2258 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

Adding to 131626361152 its reverse (251163626131), we get a palindrome (382789987283).

The spelling of 131626361152 in words is "one hundred thirty-one billion, six hundred twenty-six million, three hundred sixty-one thousand, one hundred fifty-two".