132738621120 has 336 divisors, whose sum is σ = 522271264320. Its totient is φ = 30312235008.

The previous prime is 132738621089. The next prime is 132738621187. The reversal of 132738621120 is 21126837231.

132738621120 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 3 + 8 + 621 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28403104 + ... + 28407776.

Almost surely, 2^132738621120 is an apocalyptic number.

132738621120 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 132738621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261135632160).

132738621120 is an abundant number, since it is smaller than the sum of its proper divisors (389532643200).

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

132738621120 is a wasteful number, since it uses less digits than its factorization.

132738621120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6112 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 132738621120 in words is "one hundred thirty-two billion, seven hundred thirty-eight million, six hundred twenty-one thousand, one hundred twenty".