151968096 has 96 divisors (see below), whose sum is σ = 506580480. Its totient is φ = 43417728.

The previous prime is 151968079. The next prime is 151968109. The reversal of 151968096 is 690869151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6516 + ... + 18611.

It is an arithmetic number, because the mean of its divisors is an integer number (5276880).

Almost surely, 2^151968096 is an apocalyptic number.

151968096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

151968096 is an abundant number, since it is smaller than the sum of its proper divisors (354612384).

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

151968096 is a wasteful number, since it uses less digits than its factorization.

151968096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25153 (or 25139 counting only the distinct ones).

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

The square root of 151968096 is about 12327.5340599813. The cubic root of 151968096 is about 533.6429882342.

The spelling of 151968096 in words is "one hundred fifty-one million, nine hundred sixty-eight thousand, ninety-six".