132153442452240 has 160 divisors (see below), whose sum is σ = 447005088950400. Its totient is φ = 32031020789760.

The previous prime is 132153442452233. The next prime is 132153442452263. The reversal of 132153442452240 is 42254244351231.

It is a junction number, because it is equal to n+sod(n) for n = 132153442452192 and 132153442452201.

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 31 ways as a sum of consecutive naturals, for example, 8875476 + ... + 18522444.

It is an arithmetic number, because the mean of its divisors is an integer number (2793781805940).

Almost surely, 2^{132153442452240} is an apocalyptic number.

132153442452240 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 132153442452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223502544475200).

132153442452240 is an abundant number, since it is smaller than the sum of its proper divisors (314851646498160).

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

132153442452240 is a wasteful number, since it uses less digits than its factorization.

132153442452240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9652185 (or 9652179 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 132153442452240 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, four hundred forty-two million, four hundred fifty-two thousand, two hundred forty".