131167104 has 128 divisors (see below), whose sum is σ = 375425280. Its totient is φ = 40427520.

The previous prime is 131167081. The next prime is 131167111. The reversal of 131167104 is 401761131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463347 + ... + 463629.

It is an arithmetic number, because the mean of its divisors is an integer number (2933010).

Almost surely, 2^131167104 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 131167104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187712640).

131167104 is an abundant number, since it is smaller than the sum of its proper divisors (244258176).

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

131167104 is a wasteful number, since it uses less digits than its factorization.

131167104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 131167104 is about 11452.8207879107. The cubic root of 131167104 is about 508.0911651543.

The spelling of 131167104 in words is "one hundred thirty-one million, one hundred sixty-seven thousand, one hundred four".