132734534100 has 576 divisors, whose sum is σ = 477209456640. Its totient is φ = 27817574400.

The previous prime is 132734534099. The next prime is 132734534111. The reversal of 132734534100 is 1435437231.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 270334855 + ... + 270335345.

It is an arithmetic number, because the mean of its divisors is an integer number (828488640).

Almost surely, 2^132734534100 is an apocalyptic number.

132734534100 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 132734534100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238604728320).

132734534100 is an abundant number, since it is smaller than the sum of its proper divisors (344474922540).

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

132734534100 is a wasteful number, since it uses less digits than its factorization.

132734534100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 132734534100 in words is "one hundred thirty-two billion, seven hundred thirty-four million, five hundred thirty-four thousand, one hundred".