132868480 has 128 divisors (see below), whose sum is σ = 338607360. Its totient is φ = 49766400.

The previous prime is 132868457. The next prime is 132868487. The reversal of 132868480 is 84868231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132868487) 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, 733990 + ... + 734170.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2^132868480 is an apocalyptic number.

132868480 is a gapful number since it is divisible by the number (10) 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 132868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169303680).

132868480 is an abundant number, since it is smaller than the sum of its proper divisors (205738880).

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

132868480 is a wasteful number, since it uses less digits than its factorization.

132868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 132868480 is about 11526.8590691480. The cubic root of 132868480 is about 510.2785611381.

The spelling of 132868480 in words is "one hundred thirty-two million, eight hundred sixty-eight thousand, four hundred eighty".