125457280 has 128 divisors (see below), whose sum is σ = 342377280. Its totient is φ = 43548672.

The previous prime is 125457223. The next prime is 125457301. The reversal of 125457280 is 82754521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

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 15 ways as a sum of consecutive naturals, for example, 140997 + ... + 141883.

Almost surely, 2^125457280 is an apocalyptic number.

125457280 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 125457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171188640).

125457280 is an abundant number, since it is smaller than the sum of its proper divisors (216920000).

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

125457280 is a wasteful number, since it uses less digits than its factorization.

125457280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 125457280 is about 11200.7714020062. The cubic root of 125457280 is about 500.6089646896.

The spelling of 125457280 in words is "one hundred twenty-five million, four hundred fifty-seven thousand, two hundred eighty".