125978176 has 63 divisors (see below), whose sum is σ = 265683873. Its totient is φ = 59262720.

The previous prime is 125978161. The next prime is 125978179. The reversal of 125978176 is 671879521.

It is a happy number.

The square root of 125978176 is 11224.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4096576 + 121881600 = 2024^2 + 11040^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

Its product of digits (211680) is a multiple of the sum of its prime factors (180).

It is not an unprimeable number, because it can be changed into a prime (125978179) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2065186 + ... + 2065246.

Almost surely, 2^125978176 is an apocalyptic number.

125978176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

125978176 is the 11224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125978176

125978176 is an abundant number, since it is smaller than the sum of its proper divisors (139705697).

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

125978176 is an frugal number, since it uses more digits than its factorization.

125978176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 86 counting only the distinct ones).

The product of its digits is 211680, while the sum is 46.

The cubic root of 125978176 is about 501.3008473241.

The spelling of 125978176 in words is "one hundred twenty-five million, nine hundred seventy-eight thousand, one hundred seventy-six".