152364534921 has 81 divisors (see below), whose sum is σ = 235321367463. Its totient is φ = 98646472080.

The previous prime is 152364534913. The next prime is 152364534937. The reversal of 152364534921 is 129435463251.

The square root of 152364534921 is 390339.

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

152364534921 is a `hidden beast` number, since 1 + 5 + 23 + 6 + 4 + 534 + 92 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4954611321 + 147409923600 = 70389^2 + 383940^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 152364534921 - 2³ = 152364534913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152364534221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1928664960 + ... + 1928665038.

Almost surely, 2^152364534921 is an apocalyptic number.

152364534921 is the 390339-th square number.

152364534921 is the 195170-th centered octagonal number.

It is an amenable number.

152364534921 is a deficient number, since it is larger than the sum of its proper divisors (82956832542).

152364534921 is an frugal number, since it uses more digits than its factorization.

152364534921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 143 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 152364534921 in words is "one hundred fifty-two billion, three hundred sixty-four million, five hundred thirty-four thousand, nine hundred twenty-one".