134457108480 has 576 divisors, whose sum is σ = 506558707200. Its totient is φ = 32859095040.

The previous prime is 134457108479. The next prime is 134457108523. The reversal of 134457108480 is 84801754431.

134457108480 is a `hidden beast` number, since 1 + 34 + 4 + 571 + 0 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 54281002 + ... + 54283478.

It is an arithmetic number, because the mean of its divisors is an integer number (879442200).

Almost surely, 2^134457108480 is an apocalyptic number.

134457108480 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 134457108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253279353600).

134457108480 is an abundant number, since it is smaller than the sum of its proper divisors (372101598720).

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

134457108480 is a wasteful number, since it uses less digits than its factorization.

134457108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 134457108480 in words is "one hundred thirty-four billion, four hundred fifty-seven million, one hundred eight thousand, four hundred eighty".