150871968 has 144 divisors (see below), whose sum is σ = 470564640. Its totient is φ = 45568512.

The previous prime is 150871961. The next prime is 150871979. The reversal of 150871968 is 869178051.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (150871961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220555 + ... + 221237.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2^150871968 is an apocalyptic number.

150871968 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 150871968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235282320).

150871968 is an abundant number, since it is smaller than the sum of its proper divisors (319692672).

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

150871968 is a wasteful number, since it uses less digits than its factorization.

150871968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 150871968 is about 12282.9950744922. The cubic root of 150871968 is about 532.3568563204.

The spelling of 150871968 in words is "one hundred fifty million, eight hundred seventy-one thousand, nine hundred sixty-eight".