132002000 has 80 divisors (see below), whose sum is σ = 343800912. Its totient is φ = 48729600.

The previous prime is 132001981. The next prime is 132002011. The reversal of 132002000 is 200231.

It can be written as a sum of positive squares in 8 ways, for example, as 29506624 + 102495376 = 5432^2 + 10124^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23462 + ... + 28538.

Almost surely, 2^132002000 is an apocalyptic number.

132002000 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 132002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171900456).

132002000 is an abundant number, since it is smaller than the sum of its proper divisors (211798912).

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

132002000 is a wasteful number, since it uses less digits than its factorization.

132002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5113 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 132002000 is about 11489.2123315743. The cubic root of 132002000 is about 509.1669084900.

Adding to 132002000 its reverse (200231), we get a palindrome (132202231).

The spelling of 132002000 in words is "one hundred thirty-two million, two thousand".