156807340128 has 288 divisors, whose sum is σ = 491901973920. Its totient is φ = 49188114432.

The previous prime is 156807340073. The next prime is 156807340141. The reversal of 156807340128 is 821043708651.

156807340128 is a `hidden beast` number, since 1 + 568 + 0 + 73 + 4 + 0 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×156807340128³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20221500 + ... + 20229252.

It is an arithmetic number, because the mean of its divisors is an integer number (1707992965).

Almost surely, 2^156807340128 is an apocalyptic number.

156807340128 is a gapful number since it is divisible by the number (18) 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 156807340128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245950986960).

156807340128 is an abundant number, since it is smaller than the sum of its proper divisors (335094633792).

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

156807340128 is an frugal number, since it uses more digits than its factorization.

156807340128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7818 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 156807340128 in words is "one hundred fifty-six billion, eight hundred seven million, three hundred forty thousand, one hundred twenty-eight".