124536461000 has 128 divisors (see below), whose sum is σ = 333642067200. Its totient is φ = 42621811200.

The previous prime is 124536460999. The next prime is 124536461003. The reversal of 124536461000 is 164635421.

124536461000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (124536461003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3967367 + ... + 3998633.

It is an arithmetic number, because the mean of its divisors is an integer number (2606578650).

Almost surely, 2^124536461000 is an apocalyptic number.

124536461000 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 124536461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166821033600).

124536461000 is an abundant number, since it is smaller than the sum of its proper divisors (209105606200).

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

124536461000 is a wasteful number, since it uses less digits than its factorization.

124536461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31864 (or 31850 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 124536461000 in words is "one hundred twenty-four billion, five hundred thirty-six million, four hundred sixty-one thousand".