151788416 has 64 divisors (see below), whose sum is σ = 342862800. Its totient is φ = 66355200.

The previous prime is 151788401. The next prime is 151788421. The reversal of 151788416 is 614887151.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29216 + ... + 34016.

Almost surely, 2^151788416 is an apocalyptic number.

151788416 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 151788416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171431400).

151788416 is an abundant number, since it is smaller than the sum of its proper divisors (191074384).

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

151788416 is a wasteful number, since it uses less digits than its factorization.

151788416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847 (or 4835 counting only the distinct ones).

The product of its digits is 53760, while the sum is 41.

The square root of 151788416 is about 12320.2441534249. The cubic root of 151788416 is about 533.4325870832.

The spelling of 151788416 in words is "one hundred fifty-one million, seven hundred eighty-eight thousand, four hundred sixteen".