125730513414 has 128 divisors (see below), whose sum is σ = 311719311360. Its totient is φ = 37240819200.

The previous prime is 125730513413. The next prime is 125730513479. The reversal of 125730513414 is 414315037521.

125730513414 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 305 + 1 + 341 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125730513413) 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 63 ways as a sum of consecutive naturals, for example, 8524254 + ... + 8538990.

It is an arithmetic number, because the mean of its divisors is an integer number (2435307120).

Almost surely, 2^125730513414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125730513414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155859655680).

125730513414 is an abundant number, since it is smaller than the sum of its proper divisors (185988797946).

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

125730513414 is a wasteful number, since it uses less digits than its factorization.

125730513414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15083 (or 15077 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 125730513414 in words is "one hundred twenty-five billion, seven hundred thirty million, five hundred thirteen thousand, four hundred fourteen".