125204880 has 80 divisors (see below), whose sum is σ = 389975040. Its totient is φ = 33229824.

The previous prime is 125204869. The next prime is 125204957. The reversal of 125204880 is 88402521.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54801 + ... + 57039.

It is an arithmetic number, because the mean of its divisors is an integer number (4874688).

Almost surely, 2^125204880 is an apocalyptic number.

125204880 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 125204880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

125204880 is an abundant number, since it is smaller than the sum of its proper divisors (264770160).

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

125204880 is a wasteful number, since it uses less digits than its factorization.

125204880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 125204880 is about 11189.4986482863. The cubic root of 125204880 is about 500.2730242217.

The spelling of 125204880 in words is "one hundred twenty-five million, two hundred four thousand, eight hundred eighty".