152484002064 has 75 divisors (see below), whose sum is σ = 441373632007. Its totient is φ = 50823314784.

The previous prime is 152484002053. The next prime is 152484002093. The reversal of 152484002064 is 460200484251.

The square root of 152484002064 is 390492.

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

152484002064 is a `hidden beast` number, since 1 + 5 + 2 + 48 + 400 + 206 + 4 = 666.

152484002064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14052289 + ... + 14063135.

Almost surely, 2^152484002064 is an apocalyptic number.

152484002064 is the 390492-nd square number.

It is an amenable number.

152484002064 is an abundant number, since it is smaller than the sum of its proper divisors (288889629943).

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

152484002064 is an frugal number, since it uses more digits than its factorization.

152484002064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21714 (or 10852 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Multiplying 152484002064 by its sum of digits (36), we get a square (5489424074304 = 2342952²).

152484002064 divided by its sum of digits (36) gives a square (4235666724 = 65082²).

The spelling of 152484002064 in words is "one hundred fifty-two billion, four hundred eighty-four million, two thousand, sixty-four".