153540631296 has 144 divisors (see below), whose sum is σ = 488973610720. Its totient is φ = 47243243520.

The previous prime is 153540631241. The next prime is 153540631339. The reversal of 153540631296 is 692136045351.

153540631296 is a `hidden beast` number, since 1 + 5 + 3 + 5 + 4 + 0 + 631 + 2 + 9 + 6 = 666.

153540631296 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

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 15 ways as a sum of consecutive naturals, for example, 764515 + ... + 944226.

Almost surely, 2^153540631296 is an apocalyptic number.

153540631296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

153540631296 is an abundant number, since it is smaller than the sum of its proper divisors (335432979424).

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

153540631296 is a wasteful number, since it uses less digits than its factorization.

153540631296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708779 (or 1708759 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 153540631296 in words is "one hundred fifty-three billion, five hundred forty million, six hundred thirty-one thousand, two hundred ninety-six".