150384640 has 104 divisors (see below), whose sum is σ = 412826400. Its totient is φ = 51511296.

The previous prime is 150384623. The next prime is 150384653. The reversal of 150384640 is 46483051.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142836 + ... + 143884.

Almost surely, 2^150384640 is an apocalyptic number.

150384640 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 150384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206413200).

150384640 is an abundant number, since it is smaller than the sum of its proper divisors (262441760).

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

150384640 is an equidigital number, since it uses as much as digits as its factorization.

150384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 150384640 is about 12263.1415224648. The cubic root of 150384640 is about 531.7830536083.

The spelling of 150384640 in words is "one hundred fifty million, three hundred eighty-four thousand, six hundred forty".