234152933760 has 448 divisors, whose sum is σ = 848854404000. Its totient is φ = 61728251904.

The previous prime is 234152933759. The next prime is 234152933767. The reversal of 234152933760 is 67339251432.

234152933760 is a `hidden beast` number, since 2 + 34 + 1 + 529 + 3 + 37 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234152933767) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 41521021 + ... + 41526659.

Almost surely, 2^234152933760 is an apocalyptic number.

234152933760 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 234152933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424427202000).

234152933760 is an abundant number, since it is smaller than the sum of its proper divisors (614701470240).

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

234152933760 is an frugal number, since it uses more digits than its factorization.

234152933760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5765 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 234152933760 in words is "two hundred thirty-four billion, one hundred fifty-two million, nine hundred thirty-three thousand, seven hundred sixty".