125583120 has 120 divisors (see below), whose sum is σ = 454226136. Its totient is φ = 30910464.

The previous prime is 125583109. The next prime is 125583121. The reversal of 125583120 is 21385521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 125081856 = 708^2 + 11184^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×125583120² = 31542240057868800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125583121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2652 + ... + 16068.

Almost surely, 2^125583120 is an apocalyptic number.

125583120 is a gapful number since it is divisible by the number (10) 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 125583120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227113068).

125583120 is an abundant number, since it is smaller than the sum of its proper divisors (328643016).

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

125583120 is a wasteful number, since it uses less digits than its factorization.

125583120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13449 (or 13440 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 125583120 is about 11206.3874642991. The cubic root of 125583120 is about 500.7762874651.

The spelling of 125583120 in words is "one hundred twenty-five million, five hundred eighty-three thousand, one hundred twenty".