134453460960 has 576 divisors, whose sum is σ = 584193617280. Its totient is φ = 27389214720.

The previous prime is 134453460941. The next prime is 134453460971. The reversal of 134453460960 is 69064354431.

134453460960 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 5 + 34 + 609 + 6 + 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 95 ways as a sum of consecutive naturals, for example, 3782470 + ... + 3817850.

It is an arithmetic number, because the mean of its divisors is an integer number (1014225030).

Almost surely, 2^134453460960 is an apocalyptic number.

134453460960 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 134453460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292096808640).

134453460960 is an abundant number, since it is smaller than the sum of its proper divisors (449740156320).

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

134453460960 is a wasteful number, since it uses less digits than its factorization.

134453460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35451 (or 35440 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 134453460960 in words is "one hundred thirty-four billion, four hundred fifty-three million, four hundred sixty thousand, nine hundred sixty".