125158320 has 240 divisors, whose sum is σ = 506039040. Its totient is φ = 27081216.

The previous prime is 125158279. The next prime is 125158331. The reversal of 125158320 is 23851521.

It is a happy number.

125158320 is a `hidden beast` number, since 12 + 51 + 583 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95107 + ... + 96413.

It is an arithmetic number, because the mean of its divisors is an integer number (2108496).

Almost surely, 2^125158320 is an apocalyptic number.

125158320 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 125158320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253019520).

125158320 is an abundant number, since it is smaller than the sum of its proper divisors (380880720).

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

125158320 is a wasteful number, since it uses less digits than its factorization.

125158320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1343 counting only the distinct ones).

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

The square root of 125158320 is about 11187.4179326599. The cubic root of 125158320 is about 500.2110042752.

The spelling of 125158320 in words is "one hundred twenty-five million, one hundred fifty-eight thousand, three hundred twenty".