153822240 has 480 divisors, whose sum is σ = 645454656. Its totient is φ = 34007040.

The previous prime is 153822199. The next prime is 153822259. The reversal of 153822240 is 42228351.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×153822240² = 47322563037235200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1853239 + ... + 1853321.

Almost surely, 2^153822240 is an apocalyptic number.

153822240 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 153822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322727328).

153822240 is an abundant number, since it is smaller than the sum of its proper divisors (491632416).

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

153822240 is a wasteful number, since it uses less digits than its factorization.

153822240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 153822240 is about 12402.5094234997. The cubic root of 153822240 is about 535.8045251414.

The spelling of 153822240 in words is "one hundred fifty-three million, eight hundred twenty-two thousand, two hundred forty".