125835559200 has 432 divisors, whose sum is σ = 479481014376. Its totient is φ = 30869913600.

The previous prime is 125835559127. The next prime is 125835559217. The reversal of 125835559200 is 2955538521.

It is a happy number.

125835559200 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 3 + 55 + 592 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1613146896 + 124222412304 = 40164^2 + 352452^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29669080 + ... + 29673320.

Almost surely, 2^125835559200 is an apocalyptic number.

125835559200 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 125835559200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239740507188).

125835559200 is an abundant number, since it is smaller than the sum of its proper divisors (353645455176).

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

125835559200 is a wasteful number, since it uses less digits than its factorization.

125835559200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

It can be divided in two parts, 125835 and 559200, that added together give a triangular number (685035 = T₁₁₇₀).

The spelling of 125835559200 in words is "one hundred twenty-five billion, eight hundred thirty-five million, five hundred fifty-nine thousand, two hundred".