151721352864 has 144 divisors (see below), whose sum is σ = 433847232000. Its totient is φ = 50294297088.

The previous prime is 151721352851. The next prime is 151721352899. The reversal of 151721352864 is 468253127151.

151721352864 is a `hidden beast` number, since 1 + 51 + 7 + 2 + 13 + 528 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97947162 + ... + 97948710.

It is an arithmetic number, because the mean of its divisors is an integer number (3012828000).

Almost surely, 2^151721352864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151721352864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216923616000).

151721352864 is an abundant number, since it is smaller than the sum of its proper divisors (282125879136).

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

151721352864 is a wasteful number, since it uses less digits than its factorization.

151721352864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227 (or 3216 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 151721352864 in words is "one hundred fifty-one billion, seven hundred twenty-one million, three hundred fifty-two thousand, eight hundred sixty-four".