132053460 has 192 divisors, whose sum is σ = 467195904. Its totient is φ = 27072000.

The previous prime is 132053447. The next prime is 132053507. The reversal of 132053460 is 64350231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132053460.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466479 + ... + 466761.

It is an arithmetic number, because the mean of its divisors is an integer number (2433312).

Almost surely, 2^132053460 is an apocalyptic number.

132053460 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 132053460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233597952).

132053460 is an abundant number, since it is smaller than the sum of its proper divisors (335142444).

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

132053460 is a wasteful number, since it uses less digits than its factorization.

132053460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 132053460 is about 11491.4516054326. The cubic root of 132053460 is about 509.2330648740.

The spelling of 132053460 in words is "one hundred thirty-two million, fifty-three thousand, four hundred sixty".