153521463460 has 48 divisors (see below), whose sum is σ = 324028084464. Its totient is φ = 61098098688.

The previous prime is 153521463449. The next prime is 153521463481. The reversal of 153521463460 is 64364125351.

153521463460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 55397153956 + 98124309504 = 235366^2 + 313248^2 .

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, 4490752 + ... + 4524808.

It is an arithmetic number, because the mean of its divisors is an integer number (6750585093).

Almost surely, 2^153521463460 is an apocalyptic number.

153521463460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153521463460 is an abundant number, since it is smaller than the sum of its proper divisors (170506621004).

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

153521463460 is a wasteful number, since it uses less digits than its factorization.

153521463460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35200 (or 35198 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 153521463460 in words is "one hundred fifty-three billion, five hundred twenty-one million, four hundred sixty-three thousand, four hundred sixty".