132121585440 has 288 divisors, whose sum is σ = 486895159296. Its totient is φ = 32431933440.

The previous prime is 132121585403. The next prime is 132121585493. The reversal of 132121585440 is 44585121231.

132121585440 is a `hidden beast` number, since 1 + 32 + 1 + 2 + 1 + 585 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×132121585440² (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 a junction number, because it is equal to n+sod(n) for n = 132121585395 and 132121585404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6860625 + ... + 6879855.

It is an arithmetic number, because the mean of its divisors is an integer number (1690608192).

Almost surely, 2^132121585440 is an apocalyptic number.

132121585440 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 132121585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243447579648).

132121585440 is an abundant number, since it is smaller than the sum of its proper divisors (354773573856).

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

132121585440 is a wasteful number, since it uses less digits than its factorization.

132121585440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19632 (or 19621 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 132121585440 in words is "one hundred thirty-two billion, one hundred twenty-one million, five hundred eighty-five thousand, four hundred forty".