125130880 has 256 divisors, whose sum is σ = 380712960. Its totient is φ = 38338560.

The previous prime is 125130877. The next prime is 125130899. The reversal of 125130880 is 88031521.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2360934 + ... + 2360986.

It is an arithmetic number, because the mean of its divisors is an integer number (1487160).

Almost surely, 2^125130880 is an apocalyptic number.

125130880 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 125130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190356480).

125130880 is an abundant number, since it is smaller than the sum of its proper divisors (255582080).

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

125130880 is a wasteful number, since it uses less digits than its factorization.

125130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 125130880 is about 11186.1914877227. The cubic root of 125130880 is about 500.1744457969.

It can be divided in two parts, 1251 and 30880, that added together give a triangular number (32131 = T₂₅₃).

The spelling of 125130880 in words is "one hundred twenty-five million, one hundred thirty thousand, eight hundred eighty".