132738144000 has 576 divisors, whose sum is σ = 549711332352. Its totient is φ = 27580416000.

The previous prime is 132738143981. The next prime is 132738144031. The reversal of 132738144000 is 441837231.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7383022 + ... + 7400978.

It is an arithmetic number, because the mean of its divisors is an integer number (954359952).

Almost surely, 2^132738144000 is an apocalyptic number.

132738144000 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 132738144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274855666176).

132738144000 is an abundant number, since it is smaller than the sum of its proper divisors (416973188352).

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

132738144000 is a wasteful number, since it uses less digits than its factorization.

132738144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18009 (or 17985 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 132738144000 in words is "one hundred thirty-two billion, seven hundred thirty-eight million, one hundred forty-four thousand".