132377112 has 128 divisors (see below), whose sum is σ = 434880000. Its totient is φ = 36505728.

The previous prime is 132377101. The next prime is 132377117. The reversal of 132377112 is 211773231.

It is a super-3 number, since 3×132377112³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132377117) 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, 42339 + ... + 45357.

It is an arithmetic number, because the mean of its divisors is an integer number (3397500).

Almost surely, 2^132377112 is an apocalyptic number.

132377112 is a gapful number since it is divisible by the number (12) 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 132377112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217440000).

132377112 is an abundant number, since it is smaller than the sum of its proper divisors (302502888).

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

132377112 is a wasteful number, since it uses less digits than its factorization.

132377112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3060 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 132377112 is about 11505.5252813594. The cubic root of 132377112 is about 509.6487546870.

The spelling of 132377112 in words is "one hundred thirty-two million, three hundred seventy-seven thousand, one hundred twelve".