134359741440 has 440 divisors, whose sum is σ = 485450668032. Its totient is φ = 35533209600.

The previous prime is 134359741409. The next prime is 134359741543. The reversal of 134359741440 is 44147953431.

It is a happy number.

134359741440 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 597 + 4 + 14 + 40 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52668165 + ... + 52670715.

Almost surely, 2^134359741440 is an apocalyptic number.

134359741440 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 134359741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242725334016).

134359741440 is an abundant number, since it is smaller than the sum of its proper divisors (351090926592).

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

134359741440 is a wasteful number, since it uses less digits than its factorization.

134359741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 134359741440 in words is "one hundred thirty-four billion, three hundred fifty-nine million, seven hundred forty-one thousand, four hundred forty".