156416 has 36 divisors (see below), whose sum is σ = 343392. Its totient is φ = 70656.

The previous prime is 156371. The next prime is 156419. The reversal of 156416 is 614651.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 156391 and 156400.

It is not an unprimeable number, because it can be changed into a prime (156419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3305 + ... + 3351.

2¹⁵⁶⁴¹⁶ is an apocalyptic number.

156416 is a gapful number since it is divisible by the number (16) 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 156416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171696).

156416 is an abundant number, since it is smaller than the sum of its proper divisors (186976).

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

156416 is an equidigital number, since it uses as much as digits as its factorization.

156416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 62 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 156416 is about 395.4946270179. The cubic root of 156416 is about 53.8799344285.

The spelling of 156416 in words is "one hundred fifty-six thousand, four hundred sixteen".