132114442140100 has 144 divisors (see below), whose sum is σ = 334357728208000. Its totient is φ = 45292681042560.

The previous prime is 132114442140049. The next prime is 132114442140101. The reversal of 132114442140100 is 1041244411231.

It is a happy number.

It is a super-3 number, since 3×132114442140100³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (132114442140101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437620006 + ... + 437921794.

Almost surely, 2^{132114442140100} is an apocalyptic number.

132114442140100 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 132114442140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167178864104000).

132114442140100 is an abundant number, since it is smaller than the sum of its proper divisors (202243286067900).

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

132114442140100 is a wasteful number, since it uses less digits than its factorization.

132114442140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314587 (or 314566 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 132114442140100 its reverse (1041244411231), we get a palindrome (133155686551331).

The spelling of 132114442140100 in words is "one hundred thirty-two trillion, one hundred fourteen billion, four hundred forty-two million, one hundred forty thousand, one hundred".