153858960 has 320 divisors, whose sum is σ = 585676800. Its totient is φ = 36951552.

The previous prime is 153858953. The next prime is 153858973. The reversal of 153858960 is 69858351.

153858960 is a `hidden beast` number, since 1 + 5 + 3 + 8 + 589 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 943839 + ... + 944001.

It is an arithmetic number, because the mean of its divisors is an integer number (1830240).

Almost surely, 2^153858960 is an apocalyptic number.

153858960 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 153858960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292838400).

153858960 is an abundant number, since it is smaller than the sum of its proper divisors (431817840).

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

153858960 is a wasteful number, since it uses less digits than its factorization.

153858960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 153858960 is about 12403.9896807439. The cubic root of 153858960 is about 535.8471569846.

The spelling of 153858960 in words is "one hundred fifty-three million, eight hundred fifty-eight thousand, nine hundred sixty".