132678508032000 has 4160 divisors, whose sum is σ = 609864185069568. Its totient is φ = 28028436480000.

The previous prime is 132678508031999. The next prime is 132678508032073. The reversal of 132678508032000 is 230805876231.

132678508032000 is a `hidden beast` number, since 1 + 326 + 78 + 50 + 8 + 0 + 3 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 206986751680 + ... + 206986752320.

Almost surely, 2^{132678508032000} is an apocalyptic number.

132678508032000 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 132678508032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304932092534784).

132678508032000 is an abundant number, since it is smaller than the sum of its proper divisors (477185677037568).

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

132678508032000 is an equidigital number, since it uses as much as digits as its factorization.

132678508032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 132678508032000 in words is "one hundred thirty-two trillion, six hundred seventy-eight billion, five hundred eight million, thirty-two thousand".