125161541232 has 240 divisors, whose sum is σ = 418125238272. Its totient is φ = 31944568320.

The previous prime is 125161541227. The next prime is 125161541237. The reversal of 125161541232 is 232145161521.

It is an interprime number because it is at equal distance from previous prime (125161541227) and next prime (125161541237).

It is a super-2 number, since 2×125161541232² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125161541193 and 125161541202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125161541237) 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 47 ways as a sum of consecutive naturals, for example, 881833 + ... + 1013879.

Almost surely, 2^125161541232 is an apocalyptic number.

125161541232 is a gapful number since it is divisible by the number (12) 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 125161541232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209062619136).

125161541232 is an abundant number, since it is smaller than the sum of its proper divisors (292963697040).

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

125161541232 is a wasteful number, since it uses less digits than its factorization.

125161541232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132116 (or 132103 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The spelling of 125161541232 in words is "one hundred twenty-five billion, one hundred sixty-one million, five hundred forty-one thousand, two hundred thirty-two".