151599652164 has 135 divisors (see below), whose sum is σ = 402242985837. Its totient is φ = 49787986176.

The previous prime is 151599652133. The next prime is 151599652207. The reversal of 151599652164 is 461256995151.

The square root of 151599652164 is 389358.

It is a perfect power (a square), and thus also a powerful number.

151599652164 is a `hidden beast` number, since 1 + 5 + 1 + 59 + 9 + 6 + 521 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68074028100 + 83525624064 = 260910^2 + 289008^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 151599652164.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 679818957 + ... + 679819179.

Almost surely, 2^151599652164 is an apocalyptic number.

151599652164 is the 389358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151599652164

151599652164 is an abundant number, since it is smaller than the sum of its proper divisors (250643333673).

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

151599652164 is an frugal number, since it uses more digits than its factorization.

151599652164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 325 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 54.

The spelling of 151599652164 in words is "one hundred fifty-one billion, five hundred ninety-nine million, six hundred fifty-two thousand, one hundred sixty-four".