125972280 has 256 divisors, whose sum is σ = 505728000. Its totient is φ = 27247104.

The previous prime is 125972279. The next prime is 125972293. The reversal of 125972280 is 82279521.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143202 + ... + 144078.

It is an arithmetic number, because the mean of its divisors is an integer number (1975500).

Almost surely, 2^125972280 is an apocalyptic number.

125972280 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 125972280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252864000).

125972280 is an abundant number, since it is smaller than the sum of its proper divisors (379755720).

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

125972280 is a wasteful number, since it uses less digits than its factorization.

125972280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 125972280 is about 11223.7373454656. The cubic root of 125972280 is about 501.2930266152.

The spelling of 125972280 in words is "one hundred twenty-five million, nine hundred seventy-two thousand, two hundred eighty".