134424420240 has 320 divisors, whose sum is σ = 459650580480. Its totient is φ = 32227614720.

The previous prime is 134424420239. The next prime is 134424420257. The reversal of 134424420240 is 42024424431.

134424420240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 134424420198 and 134424420207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123664977 + ... + 123666063.

It is an arithmetic number, because the mean of its divisors is an integer number (1436408064).

Almost surely, 2^134424420240 is an apocalyptic number.

134424420240 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 134424420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229825290240).

134424420240 is an abundant number, since it is smaller than the sum of its proper divisors (325226160240).

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

134424420240 is a wasteful number, since it uses less digits than its factorization.

134424420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 134424420240 its reverse (42024424431), we get a palindrome (176448844671).

The spelling of 134424420240 in words is "one hundred thirty-four billion, four hundred twenty-four million, four hundred twenty thousand, two hundred forty".