132551233112144 has 240 divisors, whose sum is σ = 333216379453440. Its totient is φ = 49948144646400.

The previous prime is 132551233112101. The next prime is 132551233112167. The reversal of 132551233112144 is 441211332155231.

It is a junction number, because it is equal to n+sod(n) for n = 132551233112098 and 132551233112107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 723761417 + ... + 723944535.

It is an arithmetic number, because the mean of its divisors is an integer number (1388401581056).

Almost surely, 2^{132551233112144} is an apocalyptic number.

132551233112144 is a gapful number since it is divisible by the number (14) 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 132551233112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166608189726720).

132551233112144 is an abundant number, since it is smaller than the sum of its proper divisors (200665146341296).

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

132551233112144 is a wasteful number, since it uses less digits than its factorization.

132551233112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184910 (or 184893 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

Adding to 132551233112144 its reverse (441211332155231), we get a palindrome (573762565267375).

The spelling of 132551233112144 in words is "one hundred thirty-two trillion, five hundred fifty-one billion, two hundred thirty-three million, one hundred twelve thousand, one hundred forty-four".