152795966136 has 256 divisors, whose sum is σ = 449717184000. Its totient is φ = 42745528320.

The previous prime is 152795966129. The next prime is 152795966137. The reversal of 152795966136 is 631669597251.

152795966136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 152795966136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152795966137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80886280 + ... + 80888168.

It is an arithmetic number, because the mean of its divisors is an integer number (1756707750).

Almost surely, 2^152795966136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152795966136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224858592000).

152795966136 is an abundant number, since it is smaller than the sum of its proper divisors (296921217864).

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

152795966136 is a wasteful number, since it uses less digits than its factorization.

152795966136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2258 counting only the distinct ones).

The product of its digits is 18370800, while the sum is 60.

The spelling of 152795966136 in words is "one hundred fifty-two billion, seven hundred ninety-five million, nine hundred sixty-six thousand, one hundred thirty-six".