153385560 has 192 divisors, whose sum is σ = 536777280. Its totient is φ = 37847040.

The previous prime is 153385559. The next prime is 153385571. The reversal of 153385560 is 65583351.

153385560 is a `hidden beast` number, since 15 + 3 + 3 + 85 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434344 + ... + 434696.

It is an arithmetic number, because the mean of its divisors is an integer number (2795715).

Almost surely, 2^153385560 is an apocalyptic number.

153385560 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 153385560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268388640).

153385560 is an abundant number, since it is smaller than the sum of its proper divisors (383391720).

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

153385560 is a wasteful number, since it uses less digits than its factorization.

153385560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 451 counting only the distinct ones).

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

The square root of 153385560 is about 12384.8924097063. The cubic root of 153385560 is about 535.2970196868.

The spelling of 153385560 in words is "one hundred fifty-three million, three hundred eighty-five thousand, five hundred sixty".