125219727360 has 1728 divisors, whose sum is σ = 570951763200. Its totient is φ = 26085556224.

The previous prime is 125219727349. The next prime is 125219727403. The reversal of 125219727360 is 63727912521.

It is a happy number.

125219727360 is a `hidden beast` number, since 1 + 2 + 5 + 219 + 72 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×125219727360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1585059801 + ... + 1585059879.

It is an arithmetic number, because the mean of its divisors is an integer number (330411900).

Almost surely, 2^125219727360 is an apocalyptic number.

125219727360 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 125219727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285475881600).

125219727360 is an abundant number, since it is smaller than the sum of its proper divisors (445732035840).

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

125219727360 is an equidigital number, since it uses as much as digits as its factorization.

125219727360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 125219727360 in words is "one hundred twenty-five billion, two hundred nineteen million, seven hundred twenty-seven thousand, three hundred sixty".