234135426000000 has 672 divisors, whose sum is σ = 904315244929200. Its totient is φ = 53516601600000.

The previous prime is 234135425999983. The next prime is 234135426000061. The reversal of 234135426000000 is 624531432.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 293601811 + ... + 294398189.

Almost surely, 2^{234135426000000} is an apocalyptic number.

234135426000000 is a gapful number since it is divisible by the number (20) 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 234135426000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452157622464600).

234135426000000 is an abundant number, since it is smaller than the sum of its proper divisors (670179818929200).

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

234135426000000 is an frugal number, since it uses more digits than its factorization.

234135426000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796440 (or 796396 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 234135426000000 in words is "two hundred thirty-four trillion, one hundred thirty-five billion, four hundred twenty-six million", and thus it is an aban number.