202415132272032 has 144 divisors (see below), whose sum is σ = 616193258833152. Its totient is φ = 65295203880960.

The previous prime is 202415132271917. The next prime is 202415132272103. The reversal of 202415132272032 is 230272231514202.

202415132272032 is a `hidden beast` number, since 2 + 0 + 2 + 41 + 513 + 2 + 2 + 72 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419609793 + ... + 420091904.

It is an arithmetic number, because the mean of its divisors is an integer number (4279119853008).

Almost surely, 2^{202415132272032} is an apocalyptic number.

It is an amenable number.

202415132272032 is an abundant number, since it is smaller than the sum of its proper divisors (413778126561120).

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

202415132272032 is an equidigital number, since it uses as much as digits as its factorization.

202415132272032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839701753 (or 839701733 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 202415132272032 its reverse (230272231514202), we get a palindrome (432687363786234).

The spelling of 202415132272032 in words is "two hundred two trillion, four hundred fifteen billion, one hundred thirty-two million, two hundred seventy-two thousand, thirty-two".