309938345136 has 160 divisors (see below), whose sum is σ = 1026232174080. Its totient is φ = 87726115584.

The previous prime is 309938345099. The next prime is 309938345149. The reversal of 309938345136 is 631543839903.

309938345136 is a `hidden beast` number, since 3 + 0 + 9 + 93 + 8 + 34 + 513 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155371 + ... + 802506.

It is an arithmetic number, because the mean of its divisors is an integer number (6413951088).

Almost surely, 2^309938345136 is an apocalyptic number.

309938345136 is a gapful number since it is divisible by the number (36) 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 309938345136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513116087040).

309938345136 is an abundant number, since it is smaller than the sum of its proper divisors (716293828944).

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

309938345136 is a wasteful number, since it uses less digits than its factorization.

309938345136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958008 (or 957996 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 309938345136 in words is "three hundred nine billion, nine hundred thirty-eight million, three hundred forty-five thousand, one hundred thirty-six".