125123042675520 has 588 divisors, whose sum is σ = 466987021729956. Its totient is φ = 31915411292160.

The previous prime is 125123042675503. The next prime is 125123042675539. The reversal of 125123042675520 is 25576240321521.

It is a happy number.

125123042675520 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 2 + 30 + 4 + 2 + 67 + 552 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56948032217664 + 68175010457856 = 7546392^2 + 8256816^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 122898160 + ... + 123912080.

It is an arithmetic number, because the mean of its divisors is an integer number (794195615187).

Almost surely, 2^{125123042675520} is an apocalyptic number.

125123042675520 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 125123042675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233493510864978).

125123042675520 is an abundant number, since it is smaller than the sum of its proper divisors (341863979054436).

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

125123042675520 is an equidigital number, since it uses as much as digits as its factorization.

125123042675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014002 (or 1013954 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 125123042675520 in words is "one hundred twenty-five trillion, one hundred twenty-three billion, forty-two million, six hundred seventy-five thousand, five hundred twenty".