234154240000 has 120 divisors (see below), whose sum is σ = 585058604130. Its totient is φ = 93661184000.

The previous prime is 234154239983. The next prime is 234154240079. The reversal of 234154240000 is 42451432.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 22127616 + 234132112384 = 4704^2 + 483872^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1188534 + ... + 1371466.

Almost surely, 2^234154240000 is an apocalyptic number.

234154240000 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 234154240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292529302065).

234154240000 is an abundant number, since it is smaller than the sum of its proper divisors (350904364130).

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

234154240000 is an frugal number, since it uses more digits than its factorization.

234154240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182975 (or 182940 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 234154240000 its reverse (42451432), we get a palindrome (234196691432).

The spelling of 234154240000 in words is "two hundred thirty-four billion, one hundred fifty-four million, two hundred forty thousand".