125148672 has 160 divisors (see below), whose sum is σ = 404616960. Its totient is φ = 37877760.

The previous prime is 125148671. The next prime is 125148703. The reversal of 125148672 is 276841521.

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 (125148671) 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, 151653 + ... + 152475.

It is an arithmetic number, because the mean of its divisors is an integer number (2528856).

Almost surely, 2^125148672 is an apocalyptic number.

125148672 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 125148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202308480).

125148672 is an abundant number, since it is smaller than the sum of its proper divisors (279468288).

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

125148672 is an equidigital number, since it uses as much as digits as its factorization.

125148672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 839 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 125148672 is about 11186.9867256558. The cubic root of 125148672 is about 500.1981507955.

The spelling of 125148672 in words is "one hundred twenty-five million, one hundred forty-eight thousand, six hundred seventy-two".