132638105772000 has 3072 divisors, whose sum is σ = 545033242091520. Its totient is φ = 31158927360000.

The previous prime is 132638105771947. The next prime is 132638105772019. The reversal of 132638105772000 is 277501836231.

132638105772000 is a `hidden beast` number, since 1 + 3 + 2 + 63 + 8 + 10 + 577 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 584308835887 + ... + 584308836113.

It is an arithmetic number, because the mean of its divisors is an integer number (177419675160).

Almost surely, 2^{132638105772000} is an apocalyptic number.

132638105772000 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 132638105772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272516621045760).

132638105772000 is an abundant number, since it is smaller than the sum of its proper divisors (412395136319520).

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

132638105772000 is a wasteful number, since it uses less digits than its factorization.

132638105772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 132638105772000 in words is "one hundred thirty-two trillion, six hundred thirty-eight billion, one hundred five million, seven hundred seventy-two thousand".