150804240 has 80 divisors (see below), whose sum is σ = 468720000. Its totient is φ = 40109056.

The previous prime is 150804223. The next prime is 150804253. The reversal of 150804240 is 42408051.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×150804240³ (a number of 26 digits) contains 333 as substring.

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 150804240.

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 15 ways as a sum of consecutive naturals, for example, 143236 + ... + 144284.

It is an arithmetic number, because the mean of its divisors is an integer number (5859000).

Almost surely, 2^150804240 is an apocalyptic number.

150804240 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 150804240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234360000).

150804240 is an abundant number, since it is smaller than the sum of its proper divisors (317915760).

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

150804240 is a wasteful number, since it uses less digits than its factorization.

150804240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 150804240 is about 12280.2377827141. The cubic root of 150804240 is about 532.2771842156.

The spelling of 150804240 in words is "one hundred fifty million, eight hundred four thousand, two hundred forty".