155268241010320 has 80 divisors (see below), whose sum is σ = 361122068427120. Its totient is φ = 62086068633600.

The previous prime is 155268241010317. The next prime is 155268241010339. The reversal of 155268241010320 is 23010142862551.

It is a happy number.

155268241010320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4685597061376 + 150582643948944 = 2164624^2 + 12271212^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3511165810 + ... + 3511210030.

It is an arithmetic number, because the mean of its divisors is an integer number (4514025855339).

Almost surely, 2^{155268241010320} is an apocalyptic number.

155268241010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155268241010320 is an abundant number, since it is smaller than the sum of its proper divisors (205853827416800).

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

155268241010320 is a wasteful number, since it uses less digits than its factorization.

155268241010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58244 (or 58238 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

Adding to 155268241010320 its reverse (23010142862551), we get a palindrome (178278383872871).

The spelling of 155268241010320 in words is "one hundred fifty-five trillion, two hundred sixty-eight billion, two hundred forty-one million, ten thousand, three hundred twenty".