125892880 has 40 divisors (see below), whose sum is σ = 296724312. Its totient is φ = 49665024.

The previous prime is 125892859. The next prime is 125892881. The reversal of 125892880 is 88298521.

It can be written as a sum of positive squares in 4 ways, for example, as 1882384 + 124010496 = 1372^2 + 11136^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (125892881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4939 + ... + 16618.

Almost surely, 2^125892880 is an apocalyptic number.

125892880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125892880 is an abundant number, since it is smaller than the sum of its proper divisors (170831432).

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

125892880 is a wasteful number, since it uses less digits than its factorization.

125892880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21643 (or 21637 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The square root of 125892880 is about 11220.1996417176. The cubic root of 125892880 is about 501.1876832499.

The spelling of 125892880 in words is "one hundred twenty-five million, eight hundred ninety-two thousand, eight hundred eighty".