151382016 has 144 divisors (see below), whose sum is σ = 449729280. Its totient is φ = 49029120.

The previous prime is 151382009. The next prime is 151382029. The reversal of 151382016 is 610283151.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 792481 + ... + 792671.

It is an arithmetic number, because the mean of its divisors is an integer number (3123120).

Almost surely, 2^151382016 is an apocalyptic number.

151382016 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 151382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224864640).

151382016 is an abundant number, since it is smaller than the sum of its proper divisors (298347264).

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

151382016 is a wasteful number, since it uses less digits than its factorization.

151382016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 151382016 is about 12303.7399192278. The cubic root of 151382016 is about 532.9560887807.

The spelling of 151382016 in words is "one hundred fifty-one million, three hundred eighty-two thousand, sixteen".