125563120 has 40 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 50131200.

The previous prime is 125563117. The next prime is 125563121. The reversal of 125563120 is 21365521.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125563121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 54961 + ... + 57199.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2^125563120 is an apocalyptic number.

125563120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125563120 is an abundant number, since it is smaller than the sum of its proper divisors (166918160).

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

125563120 is a wasteful number, since it uses less digits than its factorization.

125563120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 125563120 is about 11205.4950805397. The cubic root of 125563120 is about 500.7497019987.

The spelling of 125563120 in words is "one hundred twenty-five million, five hundred sixty-three thousand, one hundred twenty".