132106430346240 has 352 divisors, whose sum is σ = 482923743805440. Its totient is φ = 30194032214016.

The previous prime is 132106430346229. The next prime is 132106430346343. The reversal of 132106430346240 is 42643034601231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3686090241 + ... + 3686126079.

Almost surely, 2^{132106430346240} is an apocalyptic number.

132106430346240 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 132106430346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241461871902720).

132106430346240 is an abundant number, since it is smaller than the sum of its proper divisors (350817313459200).

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

132106430346240 is a wasteful number, since it uses less digits than its factorization.

132106430346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70157 (or 70139 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

Adding to 132106430346240 its reverse (42643034601231), we get a palindrome (174749464947471).

The spelling of 132106430346240 in words is "one hundred thirty-two trillion, one hundred six billion, four hundred thirty million, three hundred forty-six thousand, two hundred forty".