132946000 has 80 divisors (see below), whose sum is σ = 350745408. Its totient is φ = 48336000.

The previous prime is 132945991. The next prime is 132946031. The reversal of 132946000 is 649231.

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 (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18979 + ... + 25021.

Almost surely, 2^132946000 is an apocalyptic number.

132946000 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 132946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175372704).

132946000 is an abundant number, since it is smaller than the sum of its proper divisors (217799408).

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

132946000 is a wasteful number, since it uses less digits than its factorization.

132946000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6077 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 132946000 is about 11530.2211600645. The cubic root of 132946000 is about 510.3777798131.

The spelling of 132946000 in words is "one hundred thirty-two million, nine hundred forty-six thousand".