150894816 has 96 divisors (see below), whose sum is σ = 412812288. Its totient is φ = 48222720.

The previous prime is 150894811. The next prime is 150894851. The reversal of 150894816 is 618498051.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150894811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238821 + ... + 239451.

It is an arithmetic number, because the mean of its divisors is an integer number (4300128).

Almost surely, 2^150894816 is an apocalyptic number.

150894816 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 150894816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206406144).

150894816 is an abundant number, since it is smaller than the sum of its proper divisors (261917472).

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

150894816 is a wasteful number, since it uses less digits than its factorization.

150894816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 150894816 is about 12283.9251056004. The cubic root of 150894816 is about 532.3837282782.

The spelling of 150894816 in words is "one hundred fifty million, eight hundred ninety-four thousand, eight hundred sixteen".