150003840 has 128 divisors (see below), whose sum is σ = 546491520. Its totient is φ = 34283520.

The previous prime is 150003817. The next prime is 150003851. The reversal of 150003840 is 48300051.

150003840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7860 + ... + 19020.

It is an arithmetic number, because the mean of its divisors is an integer number (4269465).

Almost surely, 2^150003840 is an apocalyptic number.

150003840 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 150003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273245760).

150003840 is an abundant number, since it is smaller than the sum of its proper divisors (396487680).

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

150003840 is a wasteful number, since it uses less digits than its factorization.

150003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11190 (or 11178 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 150003840 is about 12247.6054802561. The cubic root of 150003840 is about 531.3338185625. Note that the first 3 decimals are identical.

Adding to 150003840 its reverse (48300051), we get a palindrome (198303891).

The spelling of 150003840 in words is "one hundred fifty million, three thousand, eight hundred forty".