125938518804 has 144 divisors (see below), whose sum is σ = 370970046720. Its totient is φ = 35276567040.

The previous prime is 125938518803. The next prime is 125938518817. The reversal of 125938518804 is 408815839521.

125938518804 is a `hidden beast` number, since 1 + 259 + 385 + 1 + 8 + 8 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125938518803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22982937 + ... + 22988415.

It is an arithmetic number, because the mean of its divisors is an integer number (2576180880).

Almost surely, 2^125938518804 is an apocalyptic number.

125938518804 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 125938518804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185485023360).

125938518804 is an abundant number, since it is smaller than the sum of its proper divisors (245031527916).

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

125938518804 is a wasteful number, since it uses less digits than its factorization.

125938518804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7270 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 125938518804 in words is "one hundred twenty-five billion, nine hundred thirty-eight million, five hundred eighteen thousand, eight hundred four".