132627000 has 128 divisors (see below), whose sum is σ = 451526400. Its totient is φ = 32144000.

The previous prime is 132626987. The next prime is 132627037. The reversal of 132627000 is 726231.

It is a happy number.

It is a super-2 number, since 2×132627000² = 35179842258000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30991 + ... + 35009.

It is an arithmetic number, because the mean of its divisors is an integer number (3527550).

Almost surely, 2^132627000 is an apocalyptic number.

132627000 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 132627000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225763200).

132627000 is an abundant number, since it is smaller than the sum of its proper divisors (318899400).

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

132627000 is a wasteful number, since it uses less digits than its factorization.

132627000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 132627000 is about 11516.3796394527. The cubic root of 132627000 is about 509.9692407439.

The spelling of 132627000 in words is "one hundred thirty-two million, six hundred twenty-seven thousand".