154228320 has 192 divisors, whose sum is σ = 568512000. Its totient is φ = 38942208.

The previous prime is 154228309. The next prime is 154228391. The reversal of 154228320 is 23822451.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81141 + ... + 83019.

It is an arithmetic number, because the mean of its divisors is an integer number (2961000).

Almost surely, 2^154228320 is an apocalyptic number.

154228320 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 154228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284256000).

154228320 is an abundant number, since it is smaller than the sum of its proper divisors (414283680).

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

154228320 is a wasteful number, since it uses less digits than its factorization.

154228320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1908 counting only the distinct ones).

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

The square root of 154228320 is about 12418.8695137682. The cubic root of 154228320 is about 536.2756063864.

The spelling of 154228320 in words is "one hundred fifty-four million, two hundred twenty-eight thousand, three hundred twenty".