134921364480 has 1056 divisors, whose sum is σ = 561125081088. Its totient is φ = 29328998400.

The previous prime is 134921364469. The next prime is 134921364481. The reversal of 134921364480 is 84463129431.

134921364480 is a `hidden beast` number, since 1 + 34 + 9 + 2 + 136 + 4 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (134921364481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1029934015 + ... + 1029934145.

It is an arithmetic number, because the mean of its divisors is an integer number (531368448).

Almost surely, 2^134921364480 is an apocalyptic number.

134921364480 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 134921364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280562540544).

134921364480 is an abundant number, since it is smaller than the sum of its proper divisors (426203716608).

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

134921364480 is a wasteful number, since it uses less digits than its factorization.

134921364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 134921364480 in words is "one hundred thirty-four billion, nine hundred twenty-one million, three hundred sixty-four thousand, four hundred eighty".