151039968 has 96 divisors (see below), whose sum is σ = 441987840. Its totient is φ = 44881920.

The previous prime is 151039963. The next prime is 151039991. The reversal of 151039968 is 869930151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151039963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28573 + ... + 33443.

It is an arithmetic number, because the mean of its divisors is an integer number (4604040).

Almost surely, 2^151039968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151039968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220993920).

151039968 is an abundant number, since it is smaller than the sum of its proper divisors (290947872).

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

151039968 is a wasteful number, since it uses less digits than its factorization.

151039968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 151039968 is about 12289.8318947006. The cubic root of 151039968 is about 532.5543809216.

The spelling of 151039968 in words is "one hundred fifty-one million, thirty-nine thousand, nine hundred sixty-eight".