125000126160 has 320 divisors, whose sum is σ = 480416251392. Its totient is φ = 26180517888.

The previous prime is 125000126113. The next prime is 125000126177. The reversal of 125000126160 is 61621000521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 125000126160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2971192 + ... + 3012968.

Almost surely, 2^125000126160 is an apocalyptic number.

125000126160 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 125000126160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240208125696).

125000126160 is an abundant number, since it is smaller than the sum of its proper divisors (355416125232).

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

125000126160 is a wasteful number, since it uses less digits than its factorization.

125000126160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41950 (or 41944 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 125000126160 its reverse (61621000521), we get a palindrome (186621126681).

The spelling of 125000126160 in words is "one hundred twenty-five billion, one hundred twenty-six thousand, one hundred sixty".