125473680 has 120 divisors (see below), whose sum is σ = 423778680. Its totient is φ = 33269760.

The previous prime is 125473669. The next prime is 125473681. The reversal of 125473680 is 86374521.

125473680 is a `hidden beast` number, since 1 + 2 + 547 + 36 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5702544 + 119771136 = 2388^2 + 10944^2 .

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125473681) 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, 164500 + ... + 165260.

It is an arithmetic number, because the mean of its divisors is an integer number (3531489).

Almost surely, 2^125473680 is an apocalyptic number.

125473680 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 125473680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211889340).

125473680 is an abundant number, since it is smaller than the sum of its proper divisors (298305000).

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

125473680 is a wasteful number, since it uses less digits than its factorization.

125473680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 125473680 is about 11201.5034705168. The cubic root of 125473680 is about 500.6307772389.

The spelling of 125473680 in words is "one hundred twenty-five million, four hundred seventy-three thousand, six hundred eighty".