132653889900 has 216 divisors, whose sum is σ = 476893164384. Its totient is φ = 30212582400.

The previous prime is 132653889859. The next prime is 132653889923. The reversal of 132653889900 is 9988356231.

132653889900 is a `hidden beast` number, since 1 + 3 + 26 + 538 + 89 + 9 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1732834 + ... + 1807766.

It is an arithmetic number, because the mean of its divisors is an integer number (2207838724).

Almost surely, 2^132653889900 is an apocalyptic number.

132653889900 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 132653889900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238446582192).

132653889900 is an abundant number, since it is smaller than the sum of its proper divisors (344239274484).

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

132653889900 is a wasteful number, since it uses less digits than its factorization.

132653889900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75241 (or 75231 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 132653889900 in words is "one hundred thirty-two billion, six hundred fifty-three million, eight hundred eighty-nine thousand, nine hundred".