124138054656 has 1584 divisors, whose sum is σ = 507388743680. Its totient is φ = 29561241600.

The previous prime is 124138054603. The next prime is 124138054739. The reversal of 124138054656 is 656450831421.

124138054656 is a `hidden beast` number, since 1 + 24 + 1 + 3 + 80 + 546 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-3 number, since 3×124138054656³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4004453361 + ... + 4004453391.

Almost surely, 2^124138054656 is an apocalyptic number.

124138054656 is a gapful number since it is divisible by the number (16) 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 124138054656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253694371840).

124138054656 is an abundant number, since it is smaller than the sum of its proper divisors (383250689024).

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

124138054656 is a wasteful number, since it uses less digits than its factorization.

124138054656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 124138054656 in words is "one hundred twenty-four billion, one hundred thirty-eight million, fifty-four thousand, six hundred fifty-six".