132121080 has 384 divisors, whose sum is σ = 547747200. Its totient is φ = 26873856.

The previous prime is 132121027. The next prime is 132121091. The reversal of 132121080 is 80121231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1212066 + ... + 1212174.

It is an arithmetic number, because the mean of its divisors is an integer number (1426425).

Almost surely, 2^132121080 is an apocalyptic number.

132121080 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 132121080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273873600).

132121080 is an abundant number, since it is smaller than the sum of its proper divisors (415626120).

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

132121080 is a wasteful number, since it uses less digits than its factorization.

132121080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 132121080 is about 11494.3934159224. The cubic root of 132121080 is about 509.3199702429.

The spelling of 132121080 in words is "one hundred thirty-two million, one hundred twenty-one thousand, eighty".