132868890 has 288 divisors, whose sum is σ = 458498880. Its totient is φ = 27276480.

The previous prime is 132868873. The next prime is 132868891. The reversal of 132868890 is 98868231.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (132868891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1600789 + ... + 1600871.

It is an arithmetic number, because the mean of its divisors is an integer number (1592010).

Almost surely, 2^132868890 is an apocalyptic number.

132868890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132868890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229249440).

132868890 is an abundant number, since it is smaller than the sum of its proper divisors (325629990).

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

132868890 is a wasteful number, since it uses less digits than its factorization.

132868890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 132868890 is about 11526.8768536842. The cubic root of 132868890 is about 510.2790860029.

The spelling of 132868890 in words is "one hundred thirty-two million, eight hundred sixty-eight thousand, eight hundred ninety".