131832648 has 24 divisors (see below), whose sum is σ = 357046950. Its totient is φ = 43944192.

The previous prime is 131832647. The next prime is 131832653. The reversal of 131832648 is 846238131.

131832648 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 3 + 2 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67864644 + 63968004 = 8238^2 + 7998^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (131832647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 915433 + ... + 915576.

Almost surely, 2^131832648 is an apocalyptic number.

131832648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131832648 is an abundant number, since it is smaller than the sum of its proper divisors (225214302).

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

131832648 is a wasteful number, since it uses less digits than its factorization.

131832648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831021 (or 1831014 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 131832648 is about 11481.8399222424. The cubic root of 131832648 is about 508.9490700325.

The spelling of 131832648 in words is "one hundred thirty-one million, eight hundred thirty-two thousand, six hundred forty-eight".