132678000000 has 1568 divisors, whose sum is σ = 609681258480. Its totient is φ = 27993600000.

The previous prime is 132677999933. The next prime is 132678000053. The reversal of 132678000000 is 876231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 132678000000 = 300³ + 5100³ = 2250³ + 4950³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 195 ways as a sum of consecutive naturals, for example, 10205999994 + ... + 10206000006.

Almost surely, 2^132678000000 is an apocalyptic number.

132678000000 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 132678000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304840629240).

132678000000 is an abundant number, since it is smaller than the sum of its proper divisors (477003258480).

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

132678000000 is an frugal number, since it uses more digits than its factorization.

132678000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 132678000000 its reverse (876231), we get a palindrome (132678876231).

The spelling of 132678000000 in words is "one hundred thirty-two billion, six hundred seventy-eight million", and thus it is an aban number.