150205440 has 352 divisors, whose sum is σ = 603684864. Its totient is φ = 30965760.

The previous prime is 150205439. The next prime is 150205463. The reversal of 150205440 is 44502051.

It is a tau number, because it is divible by the number of its divisors (352).

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 31 ways as a sum of consecutive naturals, for example, 1182657 + ... + 1182783.

Almost surely, 2^150205440 is an apocalyptic number.

150205440 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 150205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301842432).

150205440 is an abundant number, since it is smaller than the sum of its proper divisors (453479424).

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

150205440 is a wasteful number, since it uses less digits than its factorization.

150205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 150205440 is about 12255.8328970332. The cubic root of 150205440 is about 531.5717434638.

Adding to 150205440 its reverse (44502051), we get a palindrome (194707491).

The spelling of 150205440 in words is "one hundred fifty million, two hundred five thousand, four hundred forty".