125288809128 has 320 divisors, whose sum is σ = 419155084800. Its totient is φ = 34637621760.

The previous prime is 125288809103. The next prime is 125288809193. The reversal of 125288809128 is 821908882521.

It is a happy number.

125288809128 is a `hidden beast` number, since 1 + 2 + 528 + 8 + 8 + 0 + 91 + 28 = 666.

It is a super-2 number, since 2×125288809128² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16073200 + ... + 16080992.

It is an arithmetic number, because the mean of its divisors is an integer number (1309859640).

Almost surely, 2^125288809128 is an apocalyptic number.

125288809128 is a gapful number since it is divisible by the number (18) 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 125288809128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209577542400).

125288809128 is an abundant number, since it is smaller than the sum of its proper divisors (293866275672).

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

125288809128 is an equidigital number, since it uses as much as digits as its factorization.

125288809128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7867 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 125288809128 in words is "one hundred twenty-five billion, two hundred eighty-eight million, eight hundred nine thousand, one hundred twenty-eight".