132863500 has 288 divisors, whose sum is σ = 403341120. Its totient is φ = 37632000.

The previous prime is 132863491. The next prime is 132863513. The reversal of 132863500 is 5368231.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 4581486 + ... + 4581514.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2^132863500 is an apocalyptic number.

132863500 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 132863500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

132863500 is an abundant number, since it is smaller than the sum of its proper divisors (270477620).

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

132863500 is a wasteful number, since it uses less digits than its factorization.

132863500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 132863500 is about 11526.6430499083. The cubic root of 132863500 is about 510.2721858639.

The spelling of 132863500 in words is "one hundred thirty-two million, eight hundred sixty-three thousand, five hundred".