153413435520 has 96 divisors (see below), whose sum is σ = 529755789420. Its totient is φ = 40910247936.

The previous prime is 153413435507. The next prime is 153413435561. The reversal of 153413435520 is 25534314351.

153413435520 is a `hidden beast` number, since 1 + 53 + 4 + 13 + 43 + 552 + 0 = 666.

153413435520 is digitally balanced in base 3, 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 2 ways, for example, as 126457049664 + 26956385856 = 355608^2 + 164184^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13311379 + ... + 13322898.

Almost surely, 2^153413435520 is an apocalyptic number.

153413435520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153413435520 is an abundant number, since it is smaller than the sum of its proper divisors (376342353900).

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

153413435520 is a wasteful number, since it uses less digits than its factorization.

153413435520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26634302 (or 26634287 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 153413435520 its reverse (25534314351), we get a palindrome (178947749871).

The spelling of 153413435520 in words is "one hundred fifty-three billion, four hundred thirteen million, four hundred thirty-five thousand, five hundred twenty".