125153280 has 312 divisors, whose sum is σ = 500896032. Its totient is φ = 28311552.

The previous prime is 125153267. The next prime is 125153311. The reversal of 125153280 is 82351521.

It is a happy number.

125153280 is a `hidden beast` number, since 1 + 2 + 51 + 532 + 80 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1290192 + ... + 1290288.

It is an arithmetic number, because the mean of its divisors is an integer number (1605436).

Almost surely, 2^125153280 is an apocalyptic number.

125153280 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 125153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250448016).

125153280 is an abundant number, since it is smaller than the sum of its proper divisors (375742752).

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

125153280 is an equidigital number, since it uses as much as digits as its factorization.

125153280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

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

The square root of 125153280 is about 11187.1926773431. The cubic root of 125153280 is about 500.2042898533.

The spelling of 125153280 in words is "one hundred twenty-five million, one hundred fifty-three thousand, two hundred eighty".