234242251140150 has 288 divisors, whose sum is σ = 693654904182240. Its totient is φ = 56198956032000.

The previous prime is 234242251140113. The next prime is 234242251140217. The reversal of 234242251140150 is 51041152242432.

234242251140150 is a `hidden beast` number, since 2 + 3 + 4 + 24 + 225 + 1 + 1 + 401 + 5 + 0 = 666.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 459981670 + ... + 460490630.

It is an arithmetic number, because the mean of its divisors is an integer number (2408523972855).

Almost surely, 2^{234242251140150} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234242251140150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346827452091120).

234242251140150 is an abundant number, since it is smaller than the sum of its proper divisors (459412653042090).

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

234242251140150 is a wasteful number, since it uses less digits than its factorization.

234242251140150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509952 (or 509944 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 234242251140150 in words is "two hundred thirty-four trillion, two hundred forty-two billion, two hundred fifty-one million, one hundred forty thousand, one hundred fifty".