132986880 has 384 divisors, whose sum is σ = 522849600. Its totient is φ = 31850496.

The previous prime is 132986879. The next prime is 132986927. The reversal of 132986880 is 88689231.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 3594222 + ... + 3594258.

Almost surely, 2^132986880 is an apocalyptic number.

132986880 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 132986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261424800).

132986880 is an abundant number, since it is smaller than the sum of its proper divisors (389862720).

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

132986880 is a wasteful number, since it uses less digits than its factorization.

132986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 132986880 is about 11531.9937565020. The cubic root of 132986880 is about 510.4300870292.

It can be divided in two parts, 1329 and 86880, that added together give a square (88209 = 297²).

The spelling of 132986880 in words is "one hundred thirty-two million, nine hundred eighty-six thousand, eight hundred eighty".