131567172 has 108 divisors (see below), whose sum is σ = 357548688. Its totient is φ = 37620000.

The previous prime is 131567167. The next prime is 131567203. The reversal of 131567172 is 271765131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 524047 + ... + 524297.

It is an arithmetic number, because the mean of its divisors is an integer number (3310636).

Almost surely, 2^131567172 is an apocalyptic number.

131567172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131567172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178774344).

131567172 is an abundant number, since it is smaller than the sum of its proper divisors (225981516).

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

131567172 is a wasteful number, since it uses less digits than its factorization.

131567172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 286 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 131567172 is about 11470.2734056342. The cubic root of 131567172 is about 508.6072109625.

The spelling of 131567172 in words is "one hundred thirty-one million, five hundred sixty-seven thousand, one hundred seventy-two".