151983216 has 200 divisors, whose sum is σ = 548786304. Its totient is φ = 39450240.

The previous prime is 151983211. The next prime is 151983259. The reversal of 151983216 is 612389151.

151983216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (151983211) 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 39 ways as a sum of consecutive naturals, for example, 99031 + ... + 100553.

Almost surely, 2^151983216 is an apocalyptic number.

151983216 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 151983216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274393152).

151983216 is an abundant number, since it is smaller than the sum of its proper divisors (396803088).

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

151983216 is a wasteful number, since it uses less digits than its factorization.

151983216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1546 counting only the distinct ones).

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

The square root of 151983216 is about 12328.1473060635. The cubic root of 151983216 is about 533.6606858401.

The spelling of 151983216 in words is "one hundred fifty-one million, nine hundred eighty-three thousand, two hundred sixteen".