125134353344 has 224 divisors, whose sum is σ = 334299958272. Its totient is φ = 44881920000.

The previous prime is 125134353319. The next prime is 125134353347. The reversal of 125134353344 is 443353431521.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 125134353298 and 125134353307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125134353347) 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 31 ways as a sum of consecutive naturals, for example, 25687229 + ... + 25692099.

It is an arithmetic number, because the mean of its divisors is an integer number (1492410528).

Almost surely, 2^125134353344 is an apocalyptic number.

125134353344 is a gapful number since it is divisible by the number (14) 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 125134353344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167149979136).

125134353344 is an abundant number, since it is smaller than the sum of its proper divisors (209165604928).

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

125134353344 is a wasteful number, since it uses less digits than its factorization.

125134353344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315 (or 5305 counting only the distinct ones).

The product of its digits is 259200, while the sum is 38.

Adding to 125134353344 its reverse (443353431521), we get a palindrome (568487784865).

The spelling of 125134353344 in words is "one hundred twenty-five billion, one hundred thirty-four million, three hundred fifty-three thousand, three hundred forty-four".