125144134104320 has 144 divisors (see below), whose sum is σ = 305459460754560. Its totient is φ = 49106043297792.

The previous prime is 125144134104299. The next prime is 125144134104419. The reversal of 125144134104320 is 23401431441521.

It is a super-2 number, since 2×125144134104320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480109067 + ... + 480369653.

It is an arithmetic number, because the mean of its divisors is an integer number (2121246255240).

Almost surely, 2^{125144134104320} is an apocalyptic number.

125144134104320 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 125144134104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152729730377280).

125144134104320 is an abundant number, since it is smaller than the sum of its proper divisors (180315326650240).

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

125144134104320 is an equidigital number, since it uses as much as digits as its factorization.

125144134104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267740 (or 267726 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 125144134104320 its reverse (23401431441521), we get a palindrome (148545565545841).

The spelling of 125144134104320 in words is "one hundred twenty-five trillion, one hundred forty-four billion, one hundred thirty-four million, one hundred four thousand, three hundred twenty".