150514304 has 64 divisors (see below), whose sum is σ = 310210560. Its totient is φ = 72705024.

The previous prime is 150514291. The next prime is 150514307. The reversal of 150514304 is 403415051.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 150514304.

It is not an unprimeable number, because it can be changed into a prime (150514307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 763934 + ... + 764130.

It is an arithmetic number, because the mean of its divisors is an integer number (4847040).

Almost surely, 2^150514304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155105280).

150514304 is an abundant number, since it is smaller than the sum of its proper divisors (159696256).

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

150514304 is a wasteful number, since it uses less digits than its factorization.

150514304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 150514304 is about 12268.4271200509. The cubic root of 150514304 is about 531.9358469385.

Adding to 150514304 its reverse (403415051), we get a palindrome (553929355).

The spelling of 150514304 in words is "one hundred fifty million, five hundred fourteen thousand, three hundred four".