152564121424320 has 112 divisors (see below), whose sum is σ = 509885353242240. Its totient is φ = 38542514881536.

The previous prime is 152564121424201. The next prime is 152564121424327. The reversal of 152564121424320 is 23424121465251.

It is a super-2 number, since 2×152564121424320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152564121424327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4182112282 + ... + 4182148761.

Almost surely, 2^{152564121424320} is an apocalyptic number.

152564121424320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152564121424320 is an abundant number, since it is smaller than the sum of its proper divisors (357321231817920).

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

152564121424320 is a wasteful number, since it uses less digits than its factorization.

152564121424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8364261082 (or 8364261072 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

Adding to 152564121424320 its reverse (23424121465251), we get a palindrome (175988242889571).

The spelling of 152564121424320 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, one hundred twenty-one million, four hundred twenty-four thousand, three hundred twenty".