309230247520152 has 320 divisors, whose sum is σ = 990684638592000. Its totient is φ = 88278289012224.

The previous prime is 309230247520127. The next prime is 309230247520157. The reversal of 309230247520152 is 251025742032903.

309230247520152 is a `hidden beast` number, since 3 + 0 + 9 + 2 + 3 + 0 + 2 + 475 + 20 + 152 = 666.

It is a super-2 number, since 2×309230247520152² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 309230247520098 and 309230247520107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309230247520157) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53509297599 + ... + 53509303377.

It is an arithmetic number, because the mean of its divisors is an integer number (3095889495600).

Almost surely, 2^{309230247520152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309230247520152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495342319296000).

309230247520152 is an abundant number, since it is smaller than the sum of its proper divisors (681454391071848).

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

309230247520152 is a wasteful number, since it uses less digits than its factorization.

309230247520152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13540 (or 13527 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 309230247520152 in words is "three hundred nine trillion, two hundred thirty billion, two hundred forty-seven million, five hundred twenty thousand, one hundred fifty-two".