153405333312640 has 32 divisors (see below), whose sum is σ = 366734624952060. Its totient is φ = 61362133324800.

The previous prime is 153405333312619. The next prime is 153405333312641. The reversal of 153405333312640 is 46213333504351.

It can be written as a sum of positive squares in 2 ways, for example, as 125759358205504 + 27645975107136 = 11214248^2 + 5257944^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (153405333312641) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 119847916011 + ... + 119847917290.

Almost surely, 2^{153405333312640} is an apocalyptic number.

153405333312640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153405333312640 is an abundant number, since it is smaller than the sum of its proper divisors (213329291639420).

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

153405333312640 is an equidigital number, since it uses as much as digits as its factorization.

153405333312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239695833320 (or 239695833308 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 43.

Adding to 153405333312640 its reverse (46213333504351), we get a palindrome (199618666816991).

The spelling of 153405333312640 in words is "one hundred fifty-three trillion, four hundred five billion, three hundred thirty-three million, three hundred twelve thousand, six hundred forty".