131766048 has 96 divisors (see below), whose sum is σ = 406969920. Its totient is φ = 41333760.

The previous prime is 131766029. The next prime is 131766049. The reversal of 131766048 is 840667131.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (131766049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10203 + ... + 19173.

It is an arithmetic number, because the mean of its divisors is an integer number (4239270).

Almost surely, 2^131766048 is an apocalyptic number.

131766048 is a gapful number since it is divisible by the number (18) 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 131766048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203484960).

131766048 is an abundant number, since it is smaller than the sum of its proper divisors (275203872).

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

131766048 is a wasteful number, since it uses less digits than its factorization.

131766048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9007 (or 8993 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 131766048 is about 11478.9393238226. The cubic root of 131766048 is about 508.8633509584.

The spelling of 131766048 in words is "one hundred thirty-one million, seven hundred sixty-six thousand, forty-eight".