132826848 has 288 divisors, whose sum is σ = 471598848. Its totient is φ = 32256000.

The previous prime is 132826801. The next prime is 132826849. The reversal of 132826848 is 848628231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132826849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 879573 + ... + 879723.

It is an arithmetic number, because the mean of its divisors is an integer number (1637496).

Almost surely, 2^132826848 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 132826848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235799424).

132826848 is an abundant number, since it is smaller than the sum of its proper divisors (338772000).

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

132826848 is a wasteful number, since it uses less digits than its factorization.

132826848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 132826848 is about 11525.0530584462. The cubic root of 132826848 is about 510.2252599683.

The spelling of 132826848 in words is "one hundred thirty-two million, eight hundred twenty-six thousand, eight hundred forty-eight".