123141537792 has 1440 divisors, whose sum is σ = 502042867200. Its totient is φ = 29429858304.

The previous prime is 123141537787. The next prime is 123141537803. The reversal of 123141537792 is 297735141321.

123141537792 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 41 + 537 + 79 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5353979893 + ... + 5353979915.

It is an arithmetic number, because the mean of its divisors is an integer number (348640880).

Almost surely, 2^123141537792 is an apocalyptic number.

123141537792 is a gapful number since it is divisible by the number (12) 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 123141537792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251021433600).

123141537792 is an abundant number, since it is smaller than the sum of its proper divisors (378901329408).

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

123141537792 is a wasteful number, since it uses less digits than its factorization.

123141537792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 67 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 123141537792 in words is "one hundred twenty-three billion, one hundred forty-one million, five hundred thirty-seven thousand, seven hundred ninety-two".