151872768 has 108 divisors (see below), whose sum is σ = 453185460. Its totient is φ = 48857088.

The previous prime is 151872767. The next prime is 151872793. The reversal of 151872768 is 867278151.

It is a happy number.

151872768 is a `hidden beast` number, since 1 + 518 + 72 + 7 + 68 = 666.

151872768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 110502144 + 41370624 = 10512^2 + 6432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151872767) 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, 65680 + ... + 67952.

Almost surely, 2^151872768 is an apocalyptic number.

151872768 is a gapful number since it is divisible by the number (18) 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 151872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226592730).

151872768 is an abundant number, since it is smaller than the sum of its proper divisors (301312692).

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

151872768 is a wasteful number, since it uses less digits than its factorization.

151872768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2307 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The square root of 151872768 is about 12323.6669867373. Note that the first 3 decimals coincide. The cubic root of 151872768 is about 533.5313820028.

It can be divided in two parts, 15187 and 2768, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 151872768 in words is "one hundred fifty-one million, eight hundred seventy-two thousand, seven hundred sixty-eight".