151968960 has 560 divisors, whose sum is σ = 650577312. Its totient is φ = 33177600.

The previous prime is 151968917. The next prime is 151968979. The reversal of 151968960 is 69869151.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3706540 + ... + 3706580.

Almost surely, 2^151968960 is an apocalyptic number.

151968960 is a gapful number since it is divisible by the number (10) 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 151968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325288656).

151968960 is an abundant number, since it is smaller than the sum of its proper divisors (498608352).

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

151968960 is a wasteful number, since it uses less digits than its factorization.

151968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 151968960 is about 12327.5691034364. The cubic root of 151968960 is about 533.6439995576.

The spelling of 151968960 in words is "one hundred fifty-one million, nine hundred sixty-eight thousand, nine hundred sixty".