132377114100 has 1152 divisors, whose sum is σ = 524126453760. Its totient is φ = 24989184000.

The previous prime is 132377114099. The next prime is 132377114153. The reversal of 132377114100 is 1411773231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1285214649 + ... + 1285214751.

It is an arithmetic number, because the mean of its divisors is an integer number (454970880).

Almost surely, 2^132377114100 is an apocalyptic number.

132377114100 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 132377114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262063226880).

132377114100 is an abundant number, since it is smaller than the sum of its proper divisors (391749339660).

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

132377114100 is a wasteful number, since it uses less digits than its factorization.

132377114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

Adding to 132377114100 its reverse (1411773231), we get a palindrome (133788887331).

The spelling of 132377114100 in words is "one hundred thirty-two billion, three hundred seventy-seven million, one hundred fourteen thousand, one hundred".