125956800 has 126 divisors (see below), whose sum is σ = 447731388. Its totient is φ = 33584640.

The previous prime is 125956793. The next prime is 125956807. The reversal of 125956800 is 8659521.

It is a happy number.

125956800 is a `hidden beast` number, since 1 + 2 + 595 + 68 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125956793) and next prime (125956807).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125956807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10027 + ... + 18773.

Almost surely, 2^125956800 is an apocalyptic number.

125956800 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 125956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223865694).

125956800 is an abundant number, since it is smaller than the sum of its proper divisors (321774588).

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

125956800 is a wasteful number, since it uses less digits than its factorization.

125956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8775 (or 8757 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 125956800 is about 11223.0477144134. The cubic root of 125956800 is about 501.2724921137.

It can be divided in two parts, 125956 and 800, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 125956800 in words is "one hundred twenty-five million, nine hundred fifty-six thousand, eight hundred".