125383104 has 252 divisors, whose sum is σ = 453219312. Its totient is φ = 32440320.

The previous prime is 125383103. The next prime is 125383123. The reversal of 125383104 is 401383521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125383103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 487744 + ... + 488000.

Almost surely, 2^125383104 is an apocalyptic number.

125383104 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 125383104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226609656).

125383104 is an abundant number, since it is smaller than the sum of its proper divisors (327836208).

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

125383104 is a wasteful number, since it uses less digits than its factorization.

125383104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 125383104 is about 11197.4597119168. The cubic root of 125383104 is about 500.5102843759.

The spelling of 125383104 in words is "one hundred twenty-five million, three hundred eighty-three thousand, one hundred four".