150906816 has 84 divisors (see below), whose sum is σ = 455345800. Its totient is φ = 47651328.

The previous prime is 150906803. The next prime is 150906817. The reversal of 150906816 is 618609051.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150906817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4050 + ... + 17838.

Almost surely, 2^150906816 is an apocalyptic number.

150906816 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 150906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227672900).

150906816 is an abundant number, since it is smaller than the sum of its proper divisors (304438984).

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

150906816 is a wasteful number, since it uses less digits than its factorization.

150906816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13826 (or 13813 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 150906816 is about 12284.4135391153. The cubic root of 150906816 is about 532.3978406150.

The spelling of 150906816 in words is "one hundred fifty million, nine hundred six thousand, eight hundred sixteen".