132252000 has 192 divisors, whose sum is σ = 441552384. Its totient is φ = 34598400.

The previous prime is 132251963. The next prime is 132252007. The reversal of 132252000 is 252231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132252007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1235947 + ... + 1236053.

It is an arithmetic number, because the mean of its divisors is an integer number (2299752).

Almost surely, 2^132252000 is an apocalyptic number.

132252000 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 132252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220776192).

132252000 is an abundant number, since it is smaller than the sum of its proper divisors (309300384).

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

132252000 is a wasteful number, since it uses less digits than its factorization.

132252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 132252000 is about 11500.0869561930. The cubic root of 132252000 is about 509.4881446628.

It can be divided in two parts, 13225 and 2000, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 132252000 in words is "one hundred thirty-two million, two hundred fifty-two thousand".