132103414443240 has 192 divisors, whose sum is σ = 440953326777600. Its totient is φ = 34274427111936.

The previous prime is 132103414443239. The next prime is 132103414443257. The reversal of 132103414443240 is 42344414301231.

132103414443240 is a `hidden beast` number, since 1 + 3 + 2 + 10 + 34 + 144 + 432 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132103414443195 and 132103414443204.

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, 493225599 + ... + 493493361.

It is an arithmetic number, because the mean of its divisors is an integer number (2296631910300).

Almost surely, 2^{132103414443240} is an apocalyptic number.

132103414443240 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 132103414443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220476663388800).

132103414443240 is an abundant number, since it is smaller than the sum of its proper divisors (308849912334360).

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

132103414443240 is a wasteful number, since it uses less digits than its factorization.

132103414443240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304856 (or 304849 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 132103414443240 its reverse (42344414301231), we get a palindrome (174447828744471).

The spelling of 132103414443240 in words is "one hundred thirty-two trillion, one hundred three billion, four hundred fourteen million, four hundred forty-three thousand, two hundred forty".