154968320 has 144 divisors (see below), whose sum is σ = 408636480. Its totient is φ = 55959552.

The previous prime is 154968293. The next prime is 154968323. The reversal of 154968320 is 23869451.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (154968323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1114811 + ... + 1114949.

Almost surely, 2^154968320 is an apocalyptic number.

154968320 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 154968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204318240).

154968320 is an abundant number, since it is smaller than the sum of its proper divisors (253668160).

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

154968320 is a wasteful number, since it uses less digits than its factorization.

154968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 154968320 is about 12448.6272335547. The cubic root of 154968320 is about 537.1319362284.

The spelling of 154968320 in words is "one hundred fifty-four million, nine hundred sixty-eight thousand, three hundred twenty".