132644155624544 has 96 divisors (see below), whose sum is σ = 273644369510400. Its totient is φ = 63219162424320.

The previous prime is 132644155624493. The next prime is 132644155624567. The reversal of 132644155624544 is 445426551446231.

It is a super-3 number, since 3×132644155624544³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132644155624544.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13724492 + ... + 21299060.

It is an arithmetic number, because the mean of its divisors is an integer number (2850462182400).

Almost surely, 2^{132644155624544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132644155624544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136822184755200).

132644155624544 is an abundant number, since it is smaller than the sum of its proper divisors (141000213885856).

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

132644155624544 is a wasteful number, since it uses less digits than its factorization.

132644155624544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7574876 (or 7574868 counting only the distinct ones).

The product of its digits is 55296000, while the sum is 56.

The spelling of 132644155624544 in words is "one hundred thirty-two trillion, six hundred forty-four billion, one hundred fifty-five million, six hundred twenty-four thousand, five hundred forty-four".