234153442000 has 80 divisors (see below), whose sum is σ = 567761875200. Its totient is φ = 93400195200.

The previous prime is 234153441983. The next prime is 234153442027. The reversal of 234153442000 is 244351432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 234153442000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554941 + ... + 881059.

It is an arithmetic number, because the mean of its divisors is an integer number (7097023440).

Almost surely, 2^234153442000 is an apocalyptic number.

234153442000 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 234153442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283880937600).

234153442000 is an abundant number, since it is smaller than the sum of its proper divisors (333608433200).

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

234153442000 is a wasteful number, since it uses less digits than its factorization.

234153442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326501 (or 326485 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 234153442000 its reverse (244351432), we get a palindrome (234397793432).

The spelling of 234153442000 in words is "two hundred thirty-four billion, one hundred fifty-three million, four hundred forty-two thousand".