20132142132140 has 96 divisors (see below), whose sum is σ = 44678430074880. Its totient is φ = 7607605220096.

The previous prime is 20132142132107. The next prime is 20132142132163. The reversal of 20132142132140 is 4123124123102.

It is a happy number.

It is a super-3 number, since 3×20132142132140³ (a number of 41 digits) contains 333 as substring.

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, 98661059 + ... + 98864901.

It is an arithmetic number, because the mean of its divisors is an integer number (465400313280).

Almost surely, 2^{20132142132140} is an apocalyptic number.

20132142132140 is a gapful number since it is divisible by the number (20) 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 20132142132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22339215037440).

20132142132140 is an abundant number, since it is smaller than the sum of its proper divisors (24546287942740).

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

20132142132140 is a wasteful number, since it uses less digits than its factorization.

20132142132140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207551 (or 207549 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 20132142132140 its reverse (4123124123102), we get a palindrome (24255266255242).

The spelling of 20132142132140 in words is "twenty trillion, one hundred thirty-two billion, one hundred forty-two million, one hundred thirty-two thousand, one hundred forty".