125289450 has 288 divisors, whose sum is σ = 415598400. Its totient is φ = 27561600.

The previous prime is 125289443. The next prime is 125289469. The reversal of 125289450 is 54982521.

125289450 is a `hidden beast` number, since 125 + 2 + 89 + 450 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2123521 + ... + 2123579.

It is an arithmetic number, because the mean of its divisors is an integer number (1443050).

Almost surely, 2^125289450 is an apocalyptic number.

125289450 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 125289450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207799200).

125289450 is an abundant number, since it is smaller than the sum of its proper divisors (290308950).

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

125289450 is a wasteful number, since it uses less digits than its factorization.

125289450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 125289450 is about 11193.2770000568. The cubic root of 125289450 is about 500.3856358269.

The spelling of 125289450 in words is "one hundred twenty-five million, two hundred eighty-nine thousand, four hundred fifty".