125577450 has 72 divisors (see below), whose sum is σ = 339487200. Its totient is φ = 33278880.

The previous prime is 125577449. The next prime is 125577451. The reversal of 125577450 is 54775521.

It is an interprime number because it is at equal distance from previous prime (125577449) and next prime (125577451).

It is not an unprimeable number, because it can be changed into a prime (125577451) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79771 + ... + 81329.

It is an arithmetic number, because the mean of its divisors is an integer number (4715100).

Almost surely, 2^125577450 is an apocalyptic number.

125577450 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 125577450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169743600).

125577450 is an abundant number, since it is smaller than the sum of its proper divisors (213909750).

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

125577450 is a wasteful number, since it uses less digits than its factorization.

125577450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The square root of 125577450 is about 11206.1344807208. The cubic root of 125577450 is about 500.7687507721.

The spelling of 125577450 in words is "one hundred twenty-five million, five hundred seventy-seven thousand, four hundred fifty".