132104420031040 has 224 divisors, whose sum is σ = 355546568966400. Its totient is φ = 46452273315840.

The previous prime is 132104420031029. The next prime is 132104420031041. The reversal of 132104420031040 is 40130024401231.

It is a junction number, because it is equal to n+sod(n) for n = 132104420030996 and 132104420031014.

It is not an unprimeable number, because it can be changed into a prime (132104420031041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1662145 + ... + 16339264.

It is an arithmetic number, because the mean of its divisors is an integer number (1587261468600).

Almost surely, 2^{132104420031040} is an apocalyptic number.

132104420031040 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 132104420031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177773284483200).

132104420031040 is an abundant number, since it is smaller than the sum of its proper divisors (223442148935360).

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

132104420031040 is a wasteful number, since it uses less digits than its factorization.

132104420031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18001533 (or 18001523 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 132104420031040 its reverse (40130024401231), we get a palindrome (172234444432271).

The spelling of 132104420031040 in words is "one hundred thirty-two trillion, one hundred four billion, four hundred twenty million, thirty-one thousand, forty".