151668960 has 48 divisors (see below), whose sum is σ = 477758736. Its totient is φ = 40444928.

The previous prime is 151668949. The next prime is 151668977. The reversal of 151668960 is 69866151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157509 + ... + 158468.

It is an arithmetic number, because the mean of its divisors is an integer number (9953307).

Almost surely, 2^151668960 is an apocalyptic number.

151668960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151668960 is an abundant number, since it is smaller than the sum of its proper divisors (326089776).

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

151668960 is a wasteful number, since it uses less digits than its factorization.

151668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315995 (or 315987 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 151668960 is about 12315.3952433529. The cubic root of 151668960 is about 533.2926149469.

It can be divided in two parts, 151668 and 960, that added together give a triangular number (152628 = T₅₅₂).

The spelling of 151668960 in words is "one hundred fifty-one million, six hundred sixty-eight thousand, nine hundred sixty".