132354104100 has 288 divisors, whose sum is σ = 397201244160. Its totient is φ = 34012016640.

The previous prime is 132354104093. The next prime is 132354104149. The reversal of 132354104100 is 1401453231.

It is a happy number.

It is a super-2 number, since 2×132354104100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218045997 + ... + 218046603.

Almost surely, 2^132354104100 is an apocalyptic number.

132354104100 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 132354104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198600622080).

132354104100 is an abundant number, since it is smaller than the sum of its proper divisors (264847140060).

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

132354104100 is a wasteful number, since it uses less digits than its factorization.

132354104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 132354104100 its reverse (1401453231), we get a palindrome (133755557331).

The spelling of 132354104100 in words is "one hundred thirty-two billion, three hundred fifty-four million, one hundred four thousand, one hundred".