125436416 has 80 divisors (see below), whose sum is σ = 295933440. Its totient is φ = 51978240.

The previous prime is 125436413. The next prime is 125436427. The reversal of 125436416 is 614634521.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (125436413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110540 + ... + 111668.

It is an arithmetic number, because the mean of its divisors is an integer number (3699168).

Almost surely, 2^125436416 is an apocalyptic number.

125436416 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 125436416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147966720).

125436416 is an abundant number, since it is smaller than the sum of its proper divisors (170497024).

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

125436416 is an equidigital number, since it uses as much as digits as its factorization.

125436416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1169 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 125436416 is about 11199.8399988571. The cubic root of 125436416 is about 500.5812121232.

The spelling of 125436416 in words is "one hundred twenty-five million, four hundred thirty-six thousand, four hundred sixteen".