152836100352 has 216 divisors, whose sum is σ = 475012551104. Its totient is φ = 46981804032.

The previous prime is 152836100323. The next prime is 152836100369. The reversal of 152836100352 is 253001638251.

152836100352 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 3 + 610 + 0 + 35 + 2 = 666.

It is a super-2 number, since 2×152836100352² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 46214283 + ... + 46217589.

Almost surely, 2^152836100352 is an apocalyptic number.

152836100352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152836100352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237506275552).

152836100352 is an abundant number, since it is smaller than the sum of its proper divisors (322176450752).

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

152836100352 is a wasteful number, since it uses less digits than its factorization.

152836100352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4885 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 152836100352 in words is "one hundred fifty-two billion, eight hundred thirty-six million, one hundred thousand, three hundred fifty-two".