125985780 has 84 divisors (see below), whose sum is σ = 396719652. Its totient is φ = 33592320.

The previous prime is 125985757. The next prime is 125985787. The reversal of 125985780 is 87589521.

It is a happy number.

125985780 is a `hidden beast` number, since 1 + 2 + 598 + 57 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19607184 + 106378596 = 4428^2 + 10314^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125985787) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10260 + ... + 18900.

It is an arithmetic number, because the mean of its divisors is an integer number (4722853).

Almost surely, 2^125985780 is an apocalyptic number.

125985780 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 125985780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198359826).

125985780 is an abundant number, since it is smaller than the sum of its proper divisors (270733872).

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

125985780 is an equidigital number, since it uses as much as digits as its factorization.

125985780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8668 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 125985780 is about 11224.3387333063. The cubic root of 125985780 is about 501.3109332376.

The spelling of 125985780 in words is "one hundred twenty-five million, nine hundred eighty-five thousand, seven hundred eighty".