125096832 has 128 divisors (see below), whose sum is σ = 422035200. Its totient is φ = 35735040.

The previous prime is 125096831. The next prime is 125096837. The reversal of 125096832 is 238690521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125096831) 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 15 ways as a sum of consecutive naturals, for example, 21607 + ... + 26777.

It is an arithmetic number, because the mean of its divisors is an integer number (3297150).

Almost surely, 2^125096832 is an apocalyptic number.

125096832 is a gapful number since it is divisible by the number (12) 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 125096832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211017600).

125096832 is an abundant number, since it is smaller than the sum of its proper divisors (296938368).

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

125096832 is an equidigital number, since it uses as much as digits as its factorization.

125096832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 125096832 is about 11184.6695078576. The cubic root of 125096832 is about 500.1290760092.

The spelling of 125096832 in words is "one hundred twenty-five million, ninety-six thousand, eight hundred thirty-two".