150304896 has 320 divisors, whose sum is σ = 543048000. Its totient is φ = 40310784.

The previous prime is 150304879. The next prime is 150304897. The reversal of 150304896 is 698403051.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 150304896.

It is not an unprimeable number, because it can be changed into a prime (150304897) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1378890 + ... + 1378998.

It is an arithmetic number, because the mean of its divisors is an integer number (1697025).

Almost surely, 2^150304896 is an apocalyptic number.

150304896 is a gapful number since it is divisible by the number (16) 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 150304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271524000).

150304896 is an abundant number, since it is smaller than the sum of its proper divisors (392743104).

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

150304896 is a wasteful number, since it uses less digits than its factorization.

150304896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 150304896 is about 12259.8897221794. The cubic root of 150304896 is about 531.6890413350.

The spelling of 150304896 in words is "one hundred fifty million, three hundred four thousand, eight hundred ninety-six".