152152136738334 has 80 divisors (see below), whose sum is σ = 346801445630640. Its totient is φ = 49844903541120.

The previous prime is 152152136738323. The next prime is 152152136738377. The reversal of 152152136738334 is 433837631251251.

It is a happy number.

152152136738334 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 5 + 213 + 67 + 38 + 334 = 666.

152152136738334 is digitally balanced in base 2, 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35043732 + ... + 39145464.

It is an arithmetic number, because the mean of its divisors is an integer number (4335018070383).

Almost surely, 2^{152152136738334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152152136738334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173400722815320).

152152136738334 is an abundant number, since it is smaller than the sum of its proper divisors (194649308892306).

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

152152136738334 is a wasteful number, since it uses less digits than its factorization.

152152136738334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105687 (or 4105678 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

Adding to 152152136738334 its reverse (433837631251251), we get a palindrome (585989767989585).

The spelling of 152152136738334 in words is "one hundred fifty-two trillion, one hundred fifty-two billion, one hundred thirty-six million, seven hundred thirty-eight thousand, three hundred thirty-four".