132301800 has 144 divisors (see below), whose sum is σ = 458839680. Its totient is φ = 34128000.

The previous prime is 132301789. The next prime is 132301811. The reversal of 132301800 is 8103231.

It is an interprime number because it is at equal distance from previous prime (132301789) and next prime (132301811).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54615 + ... + 56985.

Almost surely, 2^132301800 is an apocalyptic number.

132301800 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 132301800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229419840).

132301800 is an abundant number, since it is smaller than the sum of its proper divisors (326537880).

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

132301800 is a wasteful number, since it uses less digits than its factorization.

132301800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 132301800 is about 11502.2519534220. The cubic root of 132301800 is about 509.5520865454.

The spelling of 132301800 in words is "one hundred thirty-two million, three hundred one thousand, eight hundred".