153434434560 has 352 divisors, whose sum is σ = 536609816064. Its totient is φ = 37109760000.

The previous prime is 153434434519. The next prime is 153434434589. The reversal of 153434434560 is 65434434351.

153434434560 is digitally balanced in base 3, because in such base 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 (352).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101544205 + ... + 101545715.

Almost surely, 2^153434434560 is an apocalyptic number.

153434434560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153434434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268304908032).

153434434560 is an abundant number, since it is smaller than the sum of its proper divisors (383175381504).

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

153434434560 is a wasteful number, since it uses less digits than its factorization.

153434434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 153434434560 in words is "one hundred fifty-three billion, four hundred thirty-four million, four hundred thirty-four thousand, five hundred sixty".