153328535108100 has 729 divisors, whose sum is σ = 533882502810111. Its totient is φ = 36779264121600.

The previous prime is 153328535108083. The next prime is 153328535108137. The reversal of 153328535108100 is 1801535823351.

The square root of 153328535108100 is 12382590.

It is a perfect power (a square), and thus also a powerful number.

153328535108100 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 2 + 8 + 53 + 510 + 81 + 0 + 0 = 666.

153328535108100 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 can be written as a sum of positive squares in 4 ways, for example, as 18544236915204 + 134784298192896 = 4306302^2 + 11609664^2 .

It is a super-2 number, since 2×153328535108100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 641541987781 + ... + 641541988019.

Almost surely, 2^{153328535108100} is an apocalyptic number.

153328535108100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153328535108100 is the 12382590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153328535108100

153328535108100 is an abundant number, since it is smaller than the sum of its proper divisors (380553967702011).

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

153328535108100 is a wasteful number, since it uses less digits than its factorization.

153328535108100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 153328535108100 in words is "one hundred fifty-three trillion, three hundred twenty-eight billion, five hundred thirty-five million, one hundred eight thousand, one hundred".