132413132114040 has 128 divisors (see below), whose sum is σ = 401278756838400. Its totient is φ = 34951299571200.

The previous prime is 132413132113901. The next prime is 132413132114119. The reversal of 132413132114040 is 40411231314231.

It is a super-2 number, since 2×132413132114040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132413132113989 and 132413132114007.

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 31 ways as a sum of consecutive naturals, for example, 44355969 + ... + 47246991.

It is an arithmetic number, because the mean of its divisors is an integer number (3134990287800).

Almost surely, 2^{132413132114040} is an apocalyptic number.

132413132114040 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 132413132114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200639378419200).

132413132114040 is an abundant number, since it is smaller than the sum of its proper divisors (268865624724360).

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

132413132114040 is a wasteful number, since it uses less digits than its factorization.

132413132114040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894917 (or 2894913 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 132413132114040 its reverse (40411231314231), we get a palindrome (172824363428271).

The spelling of 132413132114040 in words is "one hundred thirty-two trillion, four hundred thirteen billion, one hundred thirty-two million, one hundred fourteen thousand, forty".