153538560 has 468 divisors, whose sum is σ = 655509348. Its totient is φ = 33030144.

The previous prime is 153538531. The next prime is 153538571. The reversal of 153538560 is 65835351.

It can be written as a sum of positive squares in 2 ways, for example, as 88510464 + 65028096 = 9408^2 + 8064^2 .

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9031672 + ... + 9031688.

It is an arithmetic number, because the mean of its divisors is an integer number (1400661).

Almost surely, 2^153538560 is an apocalyptic number.

153538560 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 153538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327754674).

153538560 is an abundant number, since it is smaller than the sum of its proper divisors (501970788).

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

153538560 is a wasteful number, since it uses less digits than its factorization.

153538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 153538560 is about 12391.0677506016. The cubic root of 153538560 is about 535.4749443615.

The spelling of 153538560 in words is "one hundred fifty-three million, five hundred thirty-eight thousand, five hundred sixty".