151516512 has 144 divisors (see below), whose sum is σ = 521512992. Its totient is φ = 40734720.

The previous prime is 151516501. The next prime is 151516513. The reversal of 151516512 is 215615151.

151516512 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 1 + 651 + 2 = 666.

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

It is a super-2 number, since 2×151516512² = 45914506817292288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151516513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32062 + ... + 36482.

It is an arithmetic number, because the mean of its divisors is an integer number (3621618).

Almost surely, 2^151516512 is an apocalyptic number.

151516512 is a gapful number since it is divisible by the number (12) 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 151516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260756496).

151516512 is an abundant number, since it is smaller than the sum of its proper divisors (369996480).

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

151516512 is a wasteful number, since it uses less digits than its factorization.

151516512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461 (or 4450 counting only the distinct ones).

The product of its digits is 1500, while the sum is 27.

The square root of 151516512 is about 12309.2043609650. The cubic root of 151516512 is about 533.1138777665.

The spelling of 151516512 in words is "one hundred fifty-one million, five hundred sixteen thousand, five hundred twelve".