151375968 has 72 divisors (see below), whose sum is σ = 432589248. Its totient is φ = 50211072.

The previous prime is 151375967. The next prime is 151375979. The reversal of 151375968 is 869573151.

It is a happy number.

151375968 is a `hidden beast` number, since 1 + 51 + 3 + 7 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151375963) 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, 63046 + ... + 65402.

It is an arithmetic number, because the mean of its divisors is an integer number (6008184).

Almost surely, 2^151375968 is an apocalyptic number.

151375968 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 151375968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216294624).

151375968 is an abundant number, since it is smaller than the sum of its proper divisors (281213280).

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

151375968 is a wasteful number, since it uses less digits than its factorization.

151375968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2585 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 151375968 is about 12303.4941378456. The cubic root of 151375968 is about 532.9489911491.

The spelling of 151375968 in words is "one hundred fifty-one million, three hundred seventy-five thousand, nine hundred sixty-eight".