125828832 has 48 divisors (see below), whose sum is σ = 349734672. Its totient is φ = 39475200.

The previous prime is 125828831. The next prime is 125828851. The reversal of 125828832 is 238828521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125828831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36919 + ... + 40182.

It is an arithmetic number, because the mean of its divisors is an integer number (7286139).

Almost surely, 2^125828832 is an apocalyptic number.

125828832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125828832 is an abundant number, since it is smaller than the sum of its proper divisors (223905840).

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

125828832 is a wasteful number, since it uses less digits than its factorization.

125828832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77131 (or 77123 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 125828832 is about 11217.3451404510. The cubic root of 125828832 is about 501.1026757580.

The spelling of 125828832 in words is "one hundred twenty-five million, eight hundred twenty-eight thousand, eight hundred thirty-two".