125067159648 has 480 divisors, whose sum is σ = 409955914368. Its totient is φ = 37225267200.

The previous prime is 125067159643. The next prime is 125067159649. The reversal of 125067159648 is 846951760521.

It is a happy number.

125067159648 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 6 + 7 + 1 + 596 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 125067159594 and 125067159603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125067159641) 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 79 ways as a sum of consecutive naturals, for example, 66844153 + ... + 66846023.

Almost surely, 2^125067159648 is an apocalyptic number.

125067159648 is a gapful number since it is divisible by the number (18) 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 125067159648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204977957184).

125067159648 is an abundant number, since it is smaller than the sum of its proper divisors (284888754720).

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

125067159648 is a wasteful number, since it uses less digits than its factorization.

125067159648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 125067159648 in words is "one hundred twenty-five billion, sixty-seven million, one hundred fifty-nine thousand, six hundred forty-eight".