132627440 has 80 divisors (see below), whose sum is σ = 348058080. Its totient is φ = 46556160.

The previous prime is 132627431. The next prime is 132627449. The reversal of 132627440 is 44726231.

It is an interprime number because it is at equal distance from previous prime (132627431) and next prime (132627449).

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 (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132627449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22922 + ... + 28118.

It is an arithmetic number, because the mean of its divisors is an integer number (4350726).

Almost surely, 2^132627440 is an apocalyptic number.

132627440 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 132627440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174029040).

132627440 is an abundant number, since it is smaller than the sum of its proper divisors (215430640).

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

132627440 is a wasteful number, since it uses less digits than its factorization.

132627440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 132627440 is about 11516.3987426626. The cubic root of 132627440 is about 509.9698046970.

It can be divided in two parts, 13262 and 7440, that added together give a palindrome (20702).

The spelling of 132627440 in words is "one hundred thirty-two million, six hundred twenty-seven thousand, four hundred forty".