151843968 has 96 divisors (see below), whose sum is σ = 442154700. Its totient is φ = 50012160.

The previous prime is 151843961. The next prime is 151843969. The reversal of 151843968 is 869348151.

151843968 is a `hidden beast` number, since 1 + 518 + 43 + 96 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 145733184 + 6110784 = 12072^2 + 2472^2 .

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

It is not an unprimeable number, because it can be changed into a prime (151843961) 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, 101788 + ... + 103268.

Almost surely, 2^151843968 is an apocalyptic number.

151843968 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 151843968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221077350).

151843968 is an abundant number, since it is smaller than the sum of its proper divisors (290310732).

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

151843968 is a wasteful number, since it uses less digits than its factorization.

151843968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1575 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 151843968 is about 12322.4984479609. The cubic root of 151843968 is about 533.4976549224.

The spelling of 151843968 in words is "one hundred fifty-one million, eight hundred forty-three thousand, nine hundred sixty-eight".