125616450 has 48 divisors (see below), whose sum is σ = 314328096. Its totient is φ = 33196800.

The previous prime is 125616437. The next prime is 125616461. The reversal of 125616450 is 54616521.

It is a super-3 number, since 3×125616450³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 13245 + ... + 20655.

It is an arithmetic number, because the mean of its divisors is an integer number (6548502).

Almost surely, 2^125616450 is an apocalyptic number.

125616450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125616450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157164048).

125616450 is an abundant number, since it is smaller than the sum of its proper divisors (188711646).

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

125616450 is a wasteful number, since it uses less digits than its factorization.

125616450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7539 (or 7534 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 125616450 is about 11207.8744639651. The cubic root of 125616450 is about 500.8205858742.

The spelling of 125616450 in words is "one hundred twenty-five million, six hundred sixteen thousand, four hundred fifty".