134652480768 has 864 divisors, whose sum is σ = 468730080000. Its totient is φ = 36787322880.

The previous prime is 134652480713. The next prime is 134652480799. The reversal of 134652480768 is 867084256431.

It is a happy number.

134652480768 is a `hidden beast` number, since 1 + 3 + 46 + 52 + 480 + 76 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 676645533 + ... + 676645731.

Almost surely, 2^134652480768 is an apocalyptic number.

134652480768 is a gapful number since it is divisible by the number (18) 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 134652480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234365040000).

134652480768 is an abundant number, since it is smaller than the sum of its proper divisors (334077599232).

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

134652480768 is a wasteful number, since it uses less digits than its factorization.

134652480768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 134652480768 in words is "one hundred thirty-four billion, six hundred fifty-two million, four hundred eighty thousand, seven hundred sixty-eight".