151123968 has 120 divisors (see below), whose sum is σ = 451891440. Its totient is φ = 50319360.

The previous prime is 151123949. The next prime is 151123979. The reversal of 151123968 is 869321151.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165433 + ... + 166343.

It is an arithmetic number, because the mean of its divisors is an integer number (3765762).

Almost surely, 2^151123968 is an apocalyptic number.

151123968 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 151123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225945720).

151123968 is an abundant number, since it is smaller than the sum of its proper divisors (300767472).

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

151123968 is an frugal number, since it uses more digits than its factorization.

151123968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 916 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 151123968 is about 12293.2488789579. The cubic root of 151123968 is about 532.6530882995.

The spelling of 151123968 in words is "one hundred fifty-one million, one hundred twenty-three thousand, nine hundred sixty-eight".