131149872 has 90 divisors (see below), whose sum is σ = 426984948. Its totient is φ = 37469376.

The previous prime is 131149859. The next prime is 131149873. The reversal of 131149872 is 278941131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131149873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2238 + ... + 16349.

Almost surely, 2^131149872 is an apocalyptic number.

131149872 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 131149872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213492474).

131149872 is an abundant number, since it is smaller than the sum of its proper divisors (295835076).

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

131149872 is a wasteful number, since it uses less digits than its factorization.

131149872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18615 (or 18599 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 131149872 is about 11452.0684594531. The cubic root of 131149872 is about 508.0689141220.

The spelling of 131149872 in words is "one hundred thirty-one million, one hundred forty-nine thousand, eight hundred seventy-two".