150663240 has 480 divisors, whose sum is σ = 643076280. Its totient is φ = 31352832.

The previous prime is 150663203. The next prime is 150663241. The reversal of 150663240 is 42366051.

It can be written as a sum of positive squares in 4 ways, for example, as 99082116 + 51581124 = 9954^2 + 7182^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150663241) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 2063844 + ... + 2063916.

Almost surely, 2^150663240 is an apocalyptic number.

150663240 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 150663240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321538140).

150663240 is an abundant number, since it is smaller than the sum of its proper divisors (492413040).

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

150663240 is a wasteful number, since it uses less digits than its factorization.

150663240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 150663240 is about 12274.4955089812. The cubic root of 150663240 is about 532.1112417422. Note that the first 3 decimals are identical.

It can be divided in two parts, 1506 and 63240, that added together give a palindrome (64746).

The spelling of 150663240 in words is "one hundred fifty million, six hundred sixty-three thousand, two hundred forty".