153233280 has 192 divisors, whose sum is σ = 544190400. Its totient is φ = 39702528.

The previous prime is 153233263. The next prime is 153233287. The reversal of 153233280 is 82332351.

153233280 is a `hidden beast` number, since 15 + 323 + 328 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153233287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212761 + ... + 213479.

It is an arithmetic number, because the mean of its divisors is an integer number (2834325).

Almost surely, 2^153233280 is an apocalyptic number.

153233280 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 153233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272095200).

153233280 is an abundant number, since it is smaller than the sum of its proper divisors (390957120).

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

153233280 is a wasteful number, since it uses less digits than its factorization.

153233280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 153233280 is about 12378.7430702798. The cubic root of 153233280 is about 535.1198147816.

The spelling of 153233280 in words is "one hundred fifty-three million, two hundred thirty-three thousand, two hundred eighty".