153135553164 has 288 divisors, whose sum is σ = 429844934400. Its totient is φ = 42231974400.

The previous prime is 153135553163. The next prime is 153135553199. The reversal of 153135553164 is 461355531351.

153135553164 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 not an unprimeable number, because it can be changed into a prime (153135553163) 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 95 ways as a sum of consecutive naturals, for example, 221614059 + ... + 221614749.

Almost surely, 2^153135553164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153135553164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214922467200).

153135553164 is an abundant number, since it is smaller than the sum of its proper divisors (276709381236).

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

153135553164 is a wasteful number, since it uses less digits than its factorization.

153135553164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1032 counting only the distinct ones).

The product of its digits is 405000, while the sum is 42.

The spelling of 153135553164 in words is "one hundred fifty-three billion, one hundred thirty-five million, five hundred fifty-three thousand, one hundred sixty-four".