132511014503000 has 256 divisors, whose sum is σ = 375257633587200. Its totient is φ = 42755310950400.

The previous prime is 132511014502961. The next prime is 132511014503003. The reversal of 132511014503000 is 305410115231.

It is a super-2 number, since 2×132511014503000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132511014503003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1226002961 + ... + 1226111039.

It is an arithmetic number, because the mean of its divisors is an integer number (1465850131200).

Almost surely, 2^{132511014503000} is an apocalyptic number.

132511014503000 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 132511014503000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187628816793600).

132511014503000 is an abundant number, since it is smaller than the sum of its proper divisors (242746619084200).

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

132511014503000 is a wasteful number, since it uses less digits than its factorization.

132511014503000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118427 (or 118413 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 132511014503000 its reverse (305410115231), we get a palindrome (132816424618231).

The spelling of 132511014503000 in words is "one hundred thirty-two trillion, five hundred eleven billion, fourteen million, five hundred three thousand".