151566016 has 84 divisors (see below), whose sum is σ = 370578888. Its totient is φ = 61114368.

The previous prime is 151566011. The next prime is 151566047. The reversal of 151566016 is 610665151.

It is a super-2 number, since 2×151566016² = 45944514412224512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151566011) 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, 51891 + ... + 54733.

Almost surely, 2^151566016 is an apocalyptic number.

151566016 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 151566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185289444).

151566016 is an abundant number, since it is smaller than the sum of its proper divisors (219012872).

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

151566016 is a wasteful number, since it uses less digits than its factorization.

151566016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 151566016 is about 12311.2150497016. The cubic root of 151566016 is about 533.1719317158.

The spelling of 151566016 in words is "one hundred fifty-one million, five hundred sixty-six thousand, sixteen".