150409896 has 128 divisors (see below), whose sum is σ = 470803200. Its totient is φ = 38983680.

The previous prime is 150409891. The next prime is 150409901. The reversal of 150409896 is 698904051.

It is an interprime number because it is at equal distance from previous prime (150409891) and next prime (150409901).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (150409891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132660 + ... + 133788.

It is an arithmetic number, because the mean of its divisors is an integer number (3678150).

Almost surely, 2^150409896 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 150409896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235401600).

150409896 is an abundant number, since it is smaller than the sum of its proper divisors (320393304).

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

150409896 is a wasteful number, since it uses less digits than its factorization.

150409896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 150409896 is about 12264.1712316813. The cubic root of 150409896 is about 531.8128216329.

The spelling of 150409896 in words is "one hundred fifty million, four hundred nine thousand, eight hundred ninety-six".