125506836 has 162 divisors, whose sum is σ = 400571262. Its totient is φ = 33022080.

The previous prime is 125506831. The next prime is 125506847. The reversal of 125506836 is 638605521.

125506836 is a `hidden beast` number, since 12 + 550 + 68 + 36 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 15256836 + 110250000 = 3906^2 + 10500^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 125506836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125506831) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 297906 + ... + 298326.

Almost surely, 2^125506836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125506836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200285631).

125506836 is an abundant number, since it is smaller than the sum of its proper divisors (275064426).

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

125506836 is a wasteful number, since it uses less digits than its factorization.

125506836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 125506836 is about 11202.9833526610. The cubic root of 125506836 is about 500.6748700244.

The spelling of 125506836 in words is "one hundred twenty-five million, five hundred six thousand, eight hundred thirty-six".