252155401340 has 96 divisors (see below), whose sum is σ = 555553905984. Its totient is φ = 96051363840.

The previous prime is 252155401321. The next prime is 252155401349. The reversal of 252155401340 is 43104551252.

252155401340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×252155401340³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252155401297 and 252155401306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252155401349) 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 31 ways as a sum of consecutive naturals, for example, 5784707 + ... + 5828133.

It is an arithmetic number, because the mean of its divisors is an integer number (5787019854).

Almost surely, 2^252155401340 is an apocalyptic number.

252155401340 is a gapful number since it is divisible by the number (20) 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 252155401340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277776952992).

252155401340 is an abundant number, since it is smaller than the sum of its proper divisors (303398504644).

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

252155401340 is a wasteful number, since it uses less digits than its factorization.

252155401340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43647 (or 43645 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 252155401340 its reverse (43104551252), we get a palindrome (295259952592).

The spelling of 252155401340 in words is "two hundred fifty-two billion, one hundred fifty-five million, four hundred one thousand, three hundred forty".