156166147791360 has 1920 divisors, whose sum is σ = 651644177817600. Its totient is φ = 35448440832000.

The previous prime is 156166147791307. The next prime is 156166147791371. The reversal of 156166147791360 is 63197741661651.

156166147791360 is a `hidden beast` number, since 1 + 5 + 6 + 1 + 6 + 614 + 7 + 7 + 9 + 1 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 207944270985 + ... + 207944271735.

It is an arithmetic number, because the mean of its divisors is an integer number (339398009280).

Almost surely, 2^{156166147791360} is an apocalyptic number.

156166147791360 is a gapful number since it is divisible by the number (10) 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 156166147791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325822088908800).

156166147791360 is an abundant number, since it is smaller than the sum of its proper divisors (495478030026240).

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

156166147791360 is an frugal number, since it uses more digits than its factorization.

156166147791360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 156166147791360 in words is "one hundred fifty-six trillion, one hundred sixty-six billion, one hundred forty-seven million, seven hundred ninety-one thousand, three hundred sixty".