131772648 has 64 divisors (see below), whose sum is σ = 377919360. Its totient is φ = 37506816.

The previous prime is 131772643. The next prime is 131772671. The reversal of 131772648 is 846277131.

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 (131772643) 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, 47886 + ... + 50562.

It is an arithmetic number, because the mean of its divisors is an integer number (5904990).

Almost surely, 2^131772648 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 131772648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188959680).

131772648 is an abundant number, since it is smaller than the sum of its proper divisors (246146712).

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

131772648 is a wasteful number, since it uses less digits than its factorization.

131772648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2982 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 131772648 is about 11479.2268032303. The cubic root of 131772648 is about 508.8718469306.

The spelling of 131772648 in words is "one hundred thirty-one million, seven hundred seventy-two thousand, six hundred forty-eight".