132146550900 has 720 divisors, whose sum is σ = 536046107520. Its totient is φ = 27415065600.

The previous prime is 132146550889. The next prime is 132146550937. The reversal of 132146550900 is 9055641231.

132146550900 is a `hidden beast` number, since 1 + 3 + 2 + 14 + 6 + 550 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 44961631 + ... + 44964569.

Almost surely, 2^132146550900 is an apocalyptic number.

132146550900 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 132146550900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268023053760).

132146550900 is an abundant number, since it is smaller than the sum of its proper divisors (403899556620).

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

132146550900 is a wasteful number, since it uses less digits than its factorization.

132146550900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 132146550900 in words is "one hundred thirty-two billion, one hundred forty-six million, five hundred fifty thousand, nine hundred".