134287280064000 has 2160 divisors, whose sum is σ = 581498132817888. Its totient is φ = 29698099200000.

The previous prime is 134287280063971. The next prime is 134287280064019. The reversal of 134287280064000 is 460082782431.

It is a happy number.

134287280064000 is a `hidden beast` number, since 1 + 34 + 287 + 280 + 0 + 64 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 27123261525 + ... + 27123266475.

Almost surely, 2^{134287280064000} is an apocalyptic number.

134287280064000 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 134287280064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290749066408944).

134287280064000 is an abundant number, since it is smaller than the sum of its proper divisors (447210852753888).

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

134287280064000 is an equidigital number, since it uses as much as digits as its factorization.

134287280064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 134287280064000 in words is "one hundred thirty-four trillion, two hundred eighty-seven billion, two hundred eighty million, sixty-four thousand".