125868138840 has 384 divisors, whose sum is σ = 432872294400. Its totient is φ = 32886881280.

The previous prime is 125868138769. The next prime is 125868138859. The reversal of 125868138840 is 48831868521.

125868138840 is a `hidden beast` number, since 1 + 2 + 586 + 8 + 13 + 8 + 8 + 40 = 666.

It is a Cunningham number, because it is equal to 354779²-1.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 127010745 + ... + 127011735.

It is an arithmetic number, because the mean of its divisors is an integer number (1127271600).

Almost surely, 2^125868138840 is an apocalyptic number.

125868138840 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 125868138840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216436147200).

125868138840 is an abundant number, since it is smaller than the sum of its proper divisors (307004155560).

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

125868138840 is a wasteful number, since it uses less digits than its factorization.

125868138840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 125868138840 in words is "one hundred twenty-five billion, eight hundred sixty-eight million, one hundred thirty-eight thousand, eight hundred forty".