125335344420 has 576 divisors, whose sum is σ = 462031734528. Its totient is φ = 27095040000.

The previous prime is 125335344419. The next prime is 125335344427. The reversal of 125335344420 is 24443533521.

125335344420 is a `hidden beast` number, since 12 + 53 + 3 + 534 + 44 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (125335344427) 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 191 ways as a sum of consecutive naturals, for example, 119252895 + ... + 119253945.

It is an arithmetic number, because the mean of its divisors is an integer number (802138428).

Almost surely, 2^125335344420 is an apocalyptic number.

125335344420 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 125335344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231015867264).

125335344420 is an abundant number, since it is smaller than the sum of its proper divisors (336696390108).

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

125335344420 is a wasteful number, since it uses less digits than its factorization.

125335344420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 125335344420 its reverse (24443533521), we get a palindrome (149778877941).

The spelling of 125335344420 in words is "one hundred twenty-five billion, three hundred thirty-five million, three hundred forty-four thousand, four hundred twenty".