132555314304 has 576 divisors, whose sum is σ = 459532513440. Its totient is φ = 36545789952.

The previous prime is 132555314273. The next prime is 132555314341. The reversal of 132555314304 is 403413555231.

132555314304 is a `hidden beast` number, since 1 + 32 + 5 + 5 + 5 + 314 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×132555314304² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 235444327 + ... + 235444889.

Almost surely, 2^132555314304 is an apocalyptic number.

132555314304 is a gapful number since it is divisible by the number (14) 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 132555314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229766256720).

132555314304 is an abundant number, since it is smaller than the sum of its proper divisors (326977199136).

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

132555314304 is a wasteful number, since it uses less digits than its factorization.

132555314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 132555314304 its reverse (403413555231), we get a palindrome (535968869535).

The spelling of 132555314304 in words is "one hundred thirty-two billion, five hundred fifty-five million, three hundred fourteen thousand, three hundred four".