132167616 has 112 divisors (see below), whose sum is σ = 413552640. Its totient is φ = 36449280.

The previous prime is 132167597. The next prime is 132167627. The reversal of 132167616 is 616761231.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37281 + ... + 40671.

Almost surely, 2^132167616 is an apocalyptic number.

132167616 is a gapful number since it is divisible by the number (16) 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 132167616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206776320).

132167616 is an abundant number, since it is smaller than the sum of its proper divisors (281385024).

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

132167616 is a wasteful number, since it uses less digits than its factorization.

132167616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3432 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 132167616 is about 11496.4175289522. The cubic root of 132167616 is about 509.3797611860.

The spelling of 132167616 in words is "one hundred thirty-two million, one hundred sixty-seven thousand, six hundred sixteen".