123725432160 has 288 divisors, whose sum is σ = 462922387200. Its totient is φ = 29842560000.

The previous prime is 123725432137. The next prime is 123725432189. The reversal of 123725432160 is 61234527321.

123725432160 is a `hidden beast` number, since 1 + 2 + 37 + 2 + 543 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3132535 + ... + 3171785.

It is an arithmetic number, because the mean of its divisors is an integer number (1607369400).

Almost surely, 2^123725432160 is an apocalyptic number.

123725432160 is a gapful number since it is divisible by the number (10) 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 123725432160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231461193600).

123725432160 is an abundant number, since it is smaller than the sum of its proper divisors (339196955040).

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

123725432160 is a wasteful number, since it uses less digits than its factorization.

123725432160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39482 (or 39471 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 123725432160 its reverse (61234527321), we get a palindrome (184959959481).

The spelling of 123725432160 in words is "one hundred twenty-three billion, seven hundred twenty-five million, four hundred thirty-two thousand, one hundred sixty".