234125301540 has 288 divisors, whose sum is σ = 739745959680. Its totient is φ = 54929516544.

The previous prime is 234125301521. The next prime is 234125301541. The reversal of 234125301540 is 45103521432.

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 = 234125301498 and 234125301507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234125301541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 738565462 + ... + 738565778.

It is an arithmetic number, because the mean of its divisors is an integer number (2568562360).

Almost surely, 2^234125301540 is an apocalyptic number.

234125301540 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 234125301540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369872979840).

234125301540 is an abundant number, since it is smaller than the sum of its proper divisors (505620658140).

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

234125301540 is a wasteful number, since it uses less digits than its factorization.

234125301540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 234125301540 its reverse (45103521432), we get a palindrome (279228822972).

The spelling of 234125301540 in words is "two hundred thirty-four billion, one hundred twenty-five million, three hundred one thousand, five hundred forty".