125817300 has 270 divisors, whose sum is σ = 475934382. Its totient is φ = 28667520.

The previous prime is 125817287. The next prime is 125817301. The reversal of 125817300 is 3718521.

125817300 is a `hidden beast` number, since 12 + 581 + 73 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 63504 + 125753796 = 252^2 + 11214^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125817301) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 396742 + ... + 397058.

Almost surely, 2^125817300 is an apocalyptic number.

125817300 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 125817300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237967191).

125817300 is an abundant number, since it is smaller than the sum of its proper divisors (350117082).

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

125817300 is a wasteful number, since it uses less digits than its factorization.

125817300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 125817300 is about 11216.8311033019. The cubic root of 125817300 is about 501.0873668856.

It can be divided in two parts, 12581 and 7300, that added together give a square (19881 = 141²).

The spelling of 125817300 in words is "one hundred twenty-five million, eight hundred seventeen thousand, three hundred".