125836416 has 160 divisors (see below), whose sum is σ = 383219100. Its totient is φ = 40974336.

The previous prime is 125836393. The next prime is 125836429. The reversal of 125836416 is 614638521.

It is a happy number.

125836416 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 3 + 641 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108993600 + 16842816 = 10440^2 + 4104^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 549390 + ... + 549618.

Almost surely, 2^125836416 is an apocalyptic number.

125836416 is a gapful number since it is divisible by the number (16) 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 125836416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191609550).

125836416 is an abundant number, since it is smaller than the sum of its proper divisors (257382684).

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

125836416 is an equidigital number, since it uses as much as digits as its factorization.

125836416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 287 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 125836416 is about 11217.6831832603. The cubic root of 125836416 is about 501.1127431019.

The spelling of 125836416 in words is "one hundred twenty-five million, eight hundred thirty-six thousand, four hundred sixteen".