132084480 has 288 divisors, whose sum is σ = 476824320. Its totient is φ = 30883840.

The previous prime is 132084479. The next prime is 132084497. The reversal of 132084480 is 84480231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2238691 + ... + 2238749.

It is an arithmetic number, because the mean of its divisors is an integer number (1655640).

Almost surely, 2^132084480 is an apocalyptic number.

132084480 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 132084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238412160).

132084480 is an abundant number, since it is smaller than the sum of its proper divisors (344739840).

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

132084480 is a wasteful number, since it uses less digits than its factorization.

132084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 132084480 is about 11492.8012251148. The cubic root of 132084480 is about 509.2729355268.

It can be divided in two parts, 1320 and 84480, that multiplied together give a square (111513600 = 10560²).

The spelling of 132084480 in words is "one hundred thirty-two million, eighty-four thousand, four hundred eighty".