134435488800 has 144 divisors (see below), whose sum is σ = 440273383200. Its totient is φ = 35629424640.

The previous prime is 134435488799. The next prime is 134435488823. The reversal of 134435488800 is 8884534431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 134435488800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219376 + ... + 563024.

It is an arithmetic number, because the mean of its divisors is an integer number (3057454050).

Almost surely, 2^134435488800 is an apocalyptic number.

134435488800 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 134435488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220136691600).

134435488800 is an abundant number, since it is smaller than the sum of its proper divisors (305837894400).

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

134435488800 is a wasteful number, since it uses less digits than its factorization.

134435488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343835 (or 343822 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 134435488800 in words is "one hundred thirty-four billion, four hundred thirty-five million, four hundred eighty-eight thousand, eight hundred".