125320181760 has 288 divisors, whose sum is σ = 457203474000. Its totient is φ = 31659393024.

The previous prime is 125320181737. The next prime is 125320181771. The reversal of 125320181760 is 67181023521.

125320181760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×125320181760³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1715256 + ... + 1786824.

Almost surely, 2^125320181760 is an apocalyptic number.

125320181760 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 125320181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228601737000).

125320181760 is an abundant number, since it is smaller than the sum of its proper divisors (331883292240).

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

125320181760 is a wasteful number, since it uses less digits than its factorization.

125320181760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71621 (or 71598 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 125320181760 in words is "one hundred twenty-five billion, three hundred twenty million, one hundred eighty-one thousand, seven hundred sixty".