132057004500 has 288 divisors, whose sum is σ = 427111985664. Its totient is φ = 34332192000.

The previous prime is 132057004481. The next prime is 132057004507. The reversal of 132057004500 is 5400750231.

It is a happy number.

132057004500 is a `hidden beast` number, since 1 + 3 + 205 + 7 + 0 + 0 + 450 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132057004507) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61968435 + ... + 61970565.

It is an arithmetic number, because the mean of its divisors is an integer number (1483027728).

Almost surely, 2^132057004500 is an apocalyptic number.

132057004500 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 132057004500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213555992832).

132057004500 is an abundant number, since it is smaller than the sum of its proper divisors (295054981164).

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

132057004500 is a wasteful number, since it uses less digits than its factorization.

132057004500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 132057004500 its reverse (5400750231), we get a palindrome (137457754731).

The spelling of 132057004500 in words is "one hundred thirty-two billion, fifty-seven million, four thousand, five hundred".