125571360 has 96 divisors (see below), whose sum is σ = 398768832. Its totient is φ = 33213440.

The previous prime is 125571353. The next prime is 125571371. The reversal of 125571360 is 63175521.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61882 + ... + 63878.

It is an arithmetic number, because the mean of its divisors is an integer number (4153842).

Almost surely, 2^125571360 is an apocalyptic number.

125571360 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 125571360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199384416).

125571360 is an abundant number, since it is smaller than the sum of its proper divisors (273197472).

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

125571360 is a wasteful number, since it uses less digits than its factorization.

125571360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 125571360 is about 11205.8627512566. The cubic root of 125571360 is about 500.7606555528.

The spelling of 125571360 in words is "one hundred twenty-five million, five hundred seventy-one thousand, three hundred sixty".