134359380829440 has 432 divisors, whose sum is σ = 500685471965952. Its totient is φ = 33069324681216.

The previous prime is 134359380829391. The next prime is 134359380829477. The reversal of 134359380829440 is 44928083953431.

134359380829440 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 5 + 93 + 80 + 8 + 29 + 440 = 666.

134359380829440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1459065639 + ... + 1459157721.

Almost surely, 2^{134359380829440} is an apocalyptic number.

134359380829440 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 134359380829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250342735982976).

134359380829440 is an abundant number, since it is smaller than the sum of its proper divisors (366326091136512).

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

134359380829440 is a wasteful number, since it uses less digits than its factorization.

134359380829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101866 (or 101849 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 134359380829440 in words is "one hundred thirty-four trillion, three hundred fifty-nine billion, three hundred eighty million, eight hundred twenty-nine thousand, four hundred forty".