125605150563144 has 384 divisors, whose sum is σ = 383566558740480. Its totient is φ = 34131527539200.

The previous prime is 125605150563091. The next prime is 125605150563203. The reversal of 125605150563144 is 441365051506521.

It is a junction number, because it is equal to n+sod(n) for n = 125605150563093 and 125605150563102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2719703877 + ... + 2719750059.

It is an arithmetic number, because the mean of its divisors is an integer number (998871246720).

Almost surely, 2^{125605150563144} is an apocalyptic number.

125605150563144 is a gapful number since it is divisible by the number (14) 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 125605150563144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191783279370240).

125605150563144 is an abundant number, since it is smaller than the sum of its proper divisors (257961408177336).

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

125605150563144 is a wasteful number, since it uses less digits than its factorization.

125605150563144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47521 (or 47510 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 125605150563144 in words is "one hundred twenty-five trillion, six hundred five billion, one hundred fifty million, five hundred sixty-three thousand, one hundred forty-four".