125767400 has 72 divisors (see below), whose sum is σ = 321470310. Its totient is φ = 45724800.

The previous prime is 125767399. The next prime is 125767417. The reversal of 125767400 is 4767521.

It can be written as a sum of positive squares in 3 ways, for example, as 90744676 + 35022724 = 9526^2 + 5918^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21602 + ... + 26798.

Almost surely, 2^125767400 is an apocalyptic number.

125767400 is a gapful number since it is divisible by the number (10) 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 125767400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160735155).

125767400 is an abundant number, since it is smaller than the sum of its proper divisors (195702910).

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

125767400 is a wasteful number, since it uses less digits than its factorization.

125767400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5235 (or 5215 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 125767400 is about 11214.6065468210. The cubic root of 125767400 is about 501.0211132359.

The spelling of 125767400 in words is "one hundred twenty-five million, seven hundred sixty-seven thousand, four hundred".