151286016 has 144 divisors (see below), whose sum is σ = 466228224. Its totient is φ = 42657792.

The previous prime is 151285993. The next prime is 151286033. The reversal of 151286016 is 610682151.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575101 + ... + 575363.

It is an arithmetic number, because the mean of its divisors is an integer number (3237696).

Almost surely, 2^151286016 is an apocalyptic number.

151286016 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 151286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233114112).

151286016 is an abundant number, since it is smaller than the sum of its proper divisors (314942208).

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

151286016 is a wasteful number, since it uses less digits than its factorization.

151286016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 151286016 is about 12299.8380477143. The cubic root of 151286016 is about 532.8434056387.

The spelling of 151286016 in words is "one hundred fifty-one million, two hundred eighty-six thousand, sixteen".