151120179168 has 96 divisors (see below), whose sum is σ = 480028840704. Its totient is φ = 40637356032.

The previous prime is 151120179163. The next prime is 151120179173. The reversal of 151120179168 is 861971021151.

It is an interprime number because it is at equal distance from previous prime (151120179163) and next prime (151120179173).

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151120179163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6602730 + ... + 6625577.

It is an arithmetic number, because the mean of its divisors is an integer number (5000300424).

Almost surely, 2^151120179168 is an apocalyptic number.

It is an amenable number.

151120179168 is an abundant number, since it is smaller than the sum of its proper divisors (328908661536).

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

151120179168 is a wasteful number, since it uses less digits than its factorization.

151120179168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13228344 (or 13228336 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 42.

The spelling of 151120179168 in words is "one hundred fifty-one billion, one hundred twenty million, one hundred seventy-nine thousand, one hundred sixty-eight".