152261337312 has 288 divisors, whose sum is σ = 523449658368. Its totient is φ = 41040857088.

The previous prime is 152261337299. The next prime is 152261337331. The reversal of 152261337312 is 213733162251.

152261337312 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 6 + 1 + 337 + 312 = 666.

152261337312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3362373 + ... + 3407355.

It is an arithmetic number, because the mean of its divisors is an integer number (1817533536).

Almost surely, 2^152261337312 is an apocalyptic number.

152261337312 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 152261337312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261724829184).

152261337312 is an abundant number, since it is smaller than the sum of its proper divisors (371188321056).

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

152261337312 is a wasteful number, since it uses less digits than its factorization.

152261337312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45102 (or 45091 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

Adding to 152261337312 its reverse (213733162251), we get a palindrome (365994499563).

The spelling of 152261337312 in words is "one hundred fifty-two billion, two hundred sixty-one million, three hundred thirty-seven thousand, three hundred twelve".