125314124624 has 240 divisors, whose sum is σ = 279453613824. Its totient is φ = 54344908800.

The previous prime is 125314124603. The next prime is 125314124629. The reversal of 125314124624 is 426421413521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125314124629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462413609 + ... + 462413879.

Almost surely, 2^125314124624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125314124624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139726806912).

125314124624 is an abundant number, since it is smaller than the sum of its proper divisors (154139489200).

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

125314124624 is a wasteful number, since it uses less digits than its factorization.

125314124624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 467 counting only the distinct ones).

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

The spelling of 125314124624 in words is "one hundred twenty-five billion, three hundred fourteen million, one hundred twenty-four thousand, six hundred twenty-four".