153040335345 has 48 divisors (see below), whose sum is σ = 268111726272. Its totient is φ = 80748412800.

The previous prime is 153040335307. The next prime is 153040335401. The reversal of 153040335345 is 543533040351.

153040335345 is a `hidden beast` number, since 1 + 5 + 304 + 0 + 3 + 3 + 5 + 345 = 666.

153040335345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153040335345 - 2⁸ = 153040335089 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 5927434 + ... + 5953196.

It is an arithmetic number, because the mean of its divisors is an integer number (5585660964).

Almost surely, 2^153040335345 is an apocalyptic number.

153040335345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153040335345 is a deficient number, since it is larger than the sum of its proper divisors (115071390927).

153040335345 is a wasteful number, since it uses less digits than its factorization.

153040335345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27182 (or 27179 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 153040335345 its reverse (543533040351), we get a palindrome (696573375696).

The spelling of 153040335345 in words is "one hundred fifty-three billion, forty million, three hundred thirty-five thousand, three hundred forty-five".