125375739840 has 1120 divisors, whose sum is σ = 521391245760. Its totient is φ = 28315090944.

The previous prime is 125375739821. The next prime is 125375739877. The reversal of 125375739840 is 48937573521.

125375739840 is a `hidden beast` number, since 1 + 25 + 3 + 7 + 573 + 9 + 8 + 40 = 666.

It is a super-2 number, since 2×125375739840² (a number of 23 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 246317506 + ... + 246318014.

It is an arithmetic number, because the mean of its divisors is an integer number (465527898).

Almost surely, 2^125375739840 is an apocalyptic number.

125375739840 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 125375739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260695622880).

125375739840 is an abundant number, since it is smaller than the sum of its proper divisors (396015505920).

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

125375739840 is a wasteful number, since it uses less digits than its factorization.

125375739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 125375739840 in words is "one hundred twenty-five billion, three hundred seventy-five million, seven hundred thirty-nine thousand, eight hundred forty".