153513305540 has 192 divisors, whose sum is σ = 401928307200. Its totient is φ = 48055762944.

The previous prime is 153513305527. The next prime is 153513305551. The reversal of 153513305540 is 45503315351.

153513305540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 153513305540.

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 63 ways as a sum of consecutive naturals, for example, 51913742 + ... + 51916698.

It is an arithmetic number, because the mean of its divisors is an integer number (2093376600).

Almost surely, 2^153513305540 is an apocalyptic number.

153513305540 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 153513305540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200964153600).

153513305540 is an abundant number, since it is smaller than the sum of its proper divisors (248415001660).

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

153513305540 is a wasteful number, since it uses less digits than its factorization.

153513305540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 35.

The spelling of 153513305540 in words is "one hundred fifty-three billion, five hundred thirteen million, three hundred five thousand, five hundred forty".