154045920 has 288 divisors, whose sum is σ = 589897728. Its totient is φ = 33094656.

The previous prime is 154045877. The next prime is 154045933. The reversal of 154045920 is 29540451.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1212897 + ... + 1213023.

It is an arithmetic number, because the mean of its divisors is an integer number (2048256).

Almost surely, 2^154045920 is an apocalyptic number.

154045920 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 154045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294948864).

154045920 is an abundant number, since it is smaller than the sum of its proper divisors (435851808).

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

154045920 is a wasteful number, since it uses less digits than its factorization.

154045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 154045920 is about 12411.5236776151. The cubic root of 154045920 is about 536.0641120311.

The spelling of 154045920 in words is "one hundred fifty-four million, forty-five thousand, nine hundred twenty".