132325061400 has 384 divisors, whose sum is σ = 521455910400. Its totient is φ = 30213388800.

The previous prime is 132325061399. The next prime is 132325061441. The reversal of 132325061400 is 4160523231.

132325061400 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 250 + 6 + 1 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 68454834 + ... + 68456766.

It is an arithmetic number, because the mean of its divisors is an integer number (1357958100).

Almost surely, 2^132325061400 is an apocalyptic number.

132325061400 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 132325061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260727955200).

132325061400 is an abundant number, since it is smaller than the sum of its proper divisors (389130849000).

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

132325061400 is a wasteful number, since it uses less digits than its factorization.

132325061400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 132325061400 its reverse (4160523231), we get a palindrome (136485584631).

The spelling of 132325061400 in words is "one hundred thirty-two billion, three hundred twenty-five million, sixty-one thousand, four hundred".