154350240 has 384 divisors, whose sum is σ = 585252864. Its totient is φ = 33792000.

The previous prime is 154350197. The next prime is 154350241. The reversal of 154350240 is 42053451.

154350240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 154350240.

It is not an unprimeable number, because it can be changed into a prime (154350241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3764620 + ... + 3764660.

It is an arithmetic number, because the mean of its divisors is an integer number (1524096).

Almost surely, 2^154350240 is an apocalyptic number.

154350240 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 154350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292626432).

154350240 is an abundant number, since it is smaller than the sum of its proper divisors (430902624).

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

154350240 is a wasteful number, since it uses less digits than its factorization.

154350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 154350240 is about 12423.7772034112. Note that the first 3 decimals coincide. The cubic root of 154350240 is about 536.4168807014.

The spelling of 154350240 in words is "one hundred fifty-four million, three hundred fifty thousand, two hundred forty".