125733641000 has 192 divisors, whose sum is σ = 325238593680. Its totient is φ = 45460800000.

The previous prime is 125733640987. The next prime is 125733641003. The reversal of 125733641000 is 146337521.

It can be written as a sum of positive squares in 8 ways, for example, as 3204239236 + 122529401764 = 56606^2 + 350042^2 .

It is a super-3 number, since 3×125733641000³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (125733641003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21898130 + ... + 21903870.

Almost surely, 2^125733641000 is an apocalyptic number.

125733641000 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 125733641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162619296840).

125733641000 is an abundant number, since it is smaller than the sum of its proper divisors (199504952680).

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

125733641000 is a wasteful number, since it uses less digits than its factorization.

125733641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5965 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

Adding to 125733641000 its reverse (146337521), we get a palindrome (125879978521).

The spelling of 125733641000 in words is "one hundred twenty-five billion, seven hundred thirty-three million, six hundred forty-one thousand".