125916600 has 48 divisors (see below), whose sum is σ = 390343320. Its totient is φ = 33577600.

The previous prime is 125916589. The next prime is 125916607. The reversal of 125916600 is 6619521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125916607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104331 + ... + 105530.

Almost surely, 2^125916600 is an apocalyptic number.

125916600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125916600 is an abundant number, since it is smaller than the sum of its proper divisors (264426720).

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

125916600 is a wasteful number, since it uses less digits than its factorization.

125916600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209880 (or 209871 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 125916600 is about 11221.2566141230. The cubic root of 125916600 is about 501.2191582237.

It can be divided in two parts, 12591 and 6600, that added together give a palindrome (19191).

The spelling of 125916600 in words is "one hundred twenty-five million, nine hundred sixteen thousand, six hundred".