153604897256832 has 384 divisors, whose sum is σ = 477939488601600. Its totient is φ = 43581307392000.

The previous prime is 153604897256771. The next prime is 153604897256851. The reversal of 153604897256832 is 238652798406351.

153604897256832 is digitally balanced in base 2 and base 4, 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 (384).

It is a super-2 number, since 2×153604897256832² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3769332457 + ... + 3769373207.

It is an arithmetic number, because the mean of its divisors is an integer number (1244634084900).

It is a 1-persistent number, because it is pandigital, but 2⋅153604897256832 = 307209794513664 is not.

Almost surely, 2^{153604897256832} is an apocalyptic number.

153604897256832 is a gapful number since it is divisible by the number (12) 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 153604897256832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238969744300800).

153604897256832 is an abundant number, since it is smaller than the sum of its proper divisors (324334591344768).

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

153604897256832 is a wasteful number, since it uses less digits than its factorization.

153604897256832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42174 (or 42155 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 69.

The spelling of 153604897256832 in words is "one hundred fifty-three trillion, six hundred four billion, eight hundred ninety-seven million, two hundred fifty-six thousand, eight hundred thirty-two".