156816 has 75 divisors (see below), whose sum is σ = 498883. Its totient is φ = 47520.

The previous prime is 156799. The next prime is 156817. The reversal of 156816 is 618651.

156816 = T₃₉₅ + T₃₉₆.

The square root of 156816 is 396.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1440) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 156816.

It is not an unprimeable number, because it can be changed into a prime (156817) by changing a digit.

156816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14251 + ... + 14261.

2¹⁵⁶⁸¹⁶ is an apocalyptic number.

156816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

156816 is the 396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156816

156816 is an abundant number, since it is smaller than the sum of its proper divisors (342067).

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

156816 is a wasteful number, since it uses less digits than its factorization.

156816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 16 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The cubic root of 156816 is about 53.9258240825.

The spelling of 156816 in words is "one hundred fifty-six thousand, eight hundred sixteen".