125533680 has 160 divisors (see below), whose sum is σ = 404974080. Its totient is φ = 32148480.

The previous prime is 125533673. The next prime is 125533691. The reversal of 125533680 is 86335521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 903051 + ... + 903189.

It is an arithmetic number, because the mean of its divisors is an integer number (2531088).

Almost surely, 2^125533680 is an apocalyptic number.

125533680 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 125533680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

125533680 is an abundant number, since it is smaller than the sum of its proper divisors (279440400).

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

125533680 is a wasteful number, since it uses less digits than its factorization.

125533680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 125533680 is about 11204.1813623308. The cubic root of 125533680 is about 500.7105630553.

The spelling of 125533680 in words is "one hundred twenty-five million, five hundred thirty-three thousand, six hundred eighty".