150053440 has 56 divisors (see below), whose sum is σ = 366061752. Its totient is φ = 58552320.

The previous prime is 150053417. The next prime is 150053443. The reversal of 150053440 is 44350051.

It can be written as a sum of positive squares in 4 ways, for example, as 627264 + 149426176 = 792^2 + 12224^2 .

It is not an unprimeable number, because it can be changed into a prime (150053443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7402 + ... + 18838.

It is an arithmetic number, because the mean of its divisors is an integer number (6536817).

Almost surely, 2^150053440 is an apocalyptic number.

150053440 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 150053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183030876).

150053440 is an abundant number, since it is smaller than the sum of its proper divisors (216008312).

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

150053440 is a wasteful number, since it uses less digits than its factorization.

150053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11495 (or 11485 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 150053440 is about 12249.6301984999. The cubic root of 150053440 is about 531.3923754039.

The spelling of 150053440 in words is "one hundred fifty million, fifty-three thousand, four hundred forty".