125853910 has 128 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 36288000.

The previous prime is 125853883. The next prime is 125853977. The reversal of 125853910 is 19358521.

125853910 = 196² + 197² + ... + 727².

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 501285 + ... + 501535.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^125853910 is an apocalyptic number.

125853910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125853910 is an abundant number, since it is smaller than the sum of its proper divisors (178965290).

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

125853910 is a wasteful number, since it uses less digits than its factorization.

125853910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326.

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 125853910 is about 11218.4629071901. The cubic root of 125853910 is about 501.1359638843.

The spelling of 125853910 in words is "one hundred twenty-five million, eight hundred fifty-three thousand, nine hundred ten".