152584849008 has 100 divisors (see below), whose sum is σ = 445102662400. Its totient is φ = 50461076736.

The previous prime is 152584849007. The next prime is 152584849019. The reversal of 152584849008 is 800948485251.

152584849008 is a `hidden beast` number, since 1 + 52 + 584 + 8 + 4 + 9 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×152584849008² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152584849007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 298933 + ... + 628116.

It is an arithmetic number, because the mean of its divisors is an integer number (4451026624).

Almost surely, 2^152584849008 is an apocalyptic number.

152584849008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

152584849008 is an abundant number, since it is smaller than the sum of its proper divisors (292517813392).

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

152584849008 is a wasteful number, since it uses less digits than its factorization.

152584849008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927196 (or 927181 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 152584849008 in words is "one hundred fifty-two billion, five hundred eighty-four million, eight hundred forty-nine thousand, eight".