150294240 has 288 divisors, whose sum is σ = 548402400. Its totient is φ = 37416960.

The previous prime is 150294239. The next prime is 150294241. The reversal of 150294240 is 42492051.

150294240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150294239) and next prime (150294241).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150294241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2463810 + ... + 2463870.

It is an arithmetic number, because the mean of its divisors is an integer number (1904175).

Almost surely, 2^150294240 is an apocalyptic number.

150294240 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 150294240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274201200).

150294240 is an abundant number, since it is smaller than the sum of its proper divisors (398108160).

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

150294240 is a wasteful number, since it uses less digits than its factorization.

150294240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 150294240 is about 12259.4551265544. The cubic root of 150294240 is about 531.6764761814.

The spelling of 150294240 in words is "one hundred fifty million, two hundred ninety-four thousand, two hundred forty".