125163600 has 120 divisors (see below), whose sum is σ = 411923040. Its totient is φ = 32463360.

The previous prime is 125163589. The next prime is 125163601. The reversal of 125163600 is 6361521.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125163601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42991 + ... + 45809.

It is an arithmetic number, because the mean of its divisors is an integer number (3432692).

Almost surely, 2^125163600 is an apocalyptic number.

125163600 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 125163600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205961520).

125163600 is an abundant number, since it is smaller than the sum of its proper divisors (286759440).

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

125163600 is a wasteful number, since it uses less digits than its factorization.

125163600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 125163600 is about 11187.6539095558. The cubic root of 125163600 is about 500.2180382382.

The spelling of 125163600 in words is "one hundred twenty-five million, one hundred sixty-three thousand, six hundred".