125181880 has 64 divisors (see below), whose sum is σ = 313956000. Its totient is φ = 44642304.

The previous prime is 125181857. The next prime is 125181887. The reversal of 125181880 is 88181521.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125181887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8076 + ... + 17764.

Almost surely, 2^125181880 is an apocalyptic number.

125181880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125181880 is the 6460-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125181880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156978000).

125181880 is an abundant number, since it is smaller than the sum of its proper divisors (188774120).

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

125181880 is a wasteful number, since it uses less digits than its factorization.

125181880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9736 (or 9732 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 34.

The square root of 125181880 is about 11188.4708517295. The cubic root of 125181880 is about 500.2423891427.

The spelling of 125181880 in words is "one hundred twenty-five million, one hundred eighty-one thousand, eight hundred eighty".