132254193796992 has 192 divisors, whose sum is σ = 393406007280000. Its totient is φ = 42602462023680.

The previous prime is 132254193796951. The next prime is 132254193797003. The reversal of 132254193796992 is 299697391452231.

132254193796992 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 5 + 419 + 37 + 96 + 9 + 92 = 666.

132254193796992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 132254193796992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22708134 + ... + 27931482.

It is an arithmetic number, because the mean of its divisors is an integer number (2048989621250).

Almost surely, 2^{132254193796992} is an apocalyptic number.

132254193796992 is a gapful number since it is divisible by the number (12) 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 132254193796992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196703003640000).

132254193796992 is an abundant number, since it is smaller than the sum of its proper divisors (261151813483008).

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

132254193796992 is a wasteful number, since it uses less digits than its factorization.

132254193796992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5224109 (or 5224094 counting only the distinct ones).

The product of its digits is 396809280, while the sum is 72.

The spelling of 132254193796992 in words is "one hundred thirty-two trillion, two hundred fifty-four billion, one hundred ninety-three million, seven hundred ninety-six thousand, nine hundred ninety-two".