132104340011400 has 384 divisors, whose sum is σ = 433745538508800. Its totient is φ = 33167314252800.

The previous prime is 132104340011393. The next prime is 132104340011401. The reversal of 132104340011400 is 4110043401231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (132104340011401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5386065937 + ... + 5386090463.

It is an arithmetic number, because the mean of its divisors is an integer number (1129545673200).

Almost surely, 2^{132104340011400} is an apocalyptic number.

132104340011400 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 132104340011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216872769254400).

132104340011400 is an abundant number, since it is smaller than the sum of its proper divisors (301641198497400).

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

132104340011400 is a wasteful number, since it uses less digits than its factorization.

132104340011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27469 (or 27460 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 132104340011400 its reverse (4110043401231), we get a palindrome (136214383412631).

The spelling of 132104340011400 in words is "one hundred thirty-two trillion, one hundred four billion, three hundred forty million, eleven thousand, four hundred".