132038382336 has 1152 divisors, whose sum is σ = 477216768000. Its totient is φ = 32188907520.

The previous prime is 132038382293. The next prime is 132038382347. The reversal of 132038382336 is 633283830231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3568604910 + ... + 3568604946.

Almost surely, 2^132038382336 is an apocalyptic number.

132038382336 is a gapful number since it is divisible by the number (16) 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 132038382336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238608384000).

132038382336 is an abundant number, since it is smaller than the sum of its proper divisors (345178385664).

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

132038382336 is a wasteful number, since it uses less digits than its factorization.

132038382336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 132038382336 in words is "one hundred thirty-two billion, thirty-eight million, three hundred eighty-two thousand, three hundred thirty-six".