134434240000 has 400 divisors, whose sum is σ = 349523941536. Its totient is φ = 51609600000.

The previous prime is 134434239967. The next prime is 134434240001. The reversal of 134434240000 is 42434431.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134434240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1385919952 + ... + 1385920048.

Almost surely, 2^134434240000 is an apocalyptic number.

134434240000 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 134434240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174761970768).

134434240000 is an abundant number, since it is smaller than the sum of its proper divisors (215089701536).

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

134434240000 is an frugal number, since it uses more digits than its factorization.

134434240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 134434240000 its reverse (42434431), we get a palindrome (134476674431).

The spelling of 134434240000 in words is "one hundred thirty-four billion, four hundred thirty-four million, two hundred forty thousand".