131451104 has 48 divisors (see below), whose sum is σ = 268240896. Its totient is φ = 63369600.

The previous prime is 131451097. The next prime is 131451137. The reversal of 131451104 is 401154131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106169 + ... + 107399.

It is an arithmetic number, because the mean of its divisors is an integer number (5588352).

Almost surely, 2^131451104 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 131451104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134120448).

131451104 is an abundant number, since it is smaller than the sum of its proper divisors (136789792).

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

131451104 is a wasteful number, since it uses less digits than its factorization.

131451104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 131451104 is about 11465.2127760456. The cubic root of 131451104 is about 508.4576032528.

The spelling of 131451104 in words is "one hundred thirty-one million, four hundred fifty-one thousand, one hundred four".