153532068516 has 168 divisors, whose sum is σ = 433534611384. Its totient is φ = 47376368640.

The previous prime is 153532068467. The next prime is 153532068539. The reversal of 153532068516 is 615860235351.

153532068516 is a `hidden beast` number, since 1 + 5 + 3 + 53 + 20 + 68 + 516 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20632449600 + 132899618916 = 143640^2 + 364554^2 .

It is a super-3 number, since 3×153532068516³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2998506 + ... + 3049278.

It is an arithmetic number, because the mean of its divisors is an integer number (2580563163).

Almost surely, 2^153532068516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153532068516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216767305692).

153532068516 is an abundant number, since it is smaller than the sum of its proper divisors (280002542868).

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

153532068516 is a wasteful number, since it uses less digits than its factorization.

153532068516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50873 (or 50856 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 153532068516 in words is "one hundred fifty-three billion, five hundred thirty-two million, sixty-eight thousand, five hundred sixteen".