156420 has 72 divisors (see below), whose sum is σ = 524160. Its totient is φ = 37440.

The previous prime is 156419. The next prime is 156421. The reversal of 156420 is 24651.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (156419) and next prime (156421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 156393 and 156402.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 156420.

It is not an unprimeable number, because it can be changed into a prime (156421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1941 + ... + 2019.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2¹⁵⁶⁴²⁰ is an apocalyptic number.

156420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 395×396.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

156420 is an abundant number, since it is smaller than the sum of its proper divisors (367740).

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

156420 is a wasteful number, since it uses less digits than its factorization.

156420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 156420 is about 395.4996839442. The cubic root of 156420 is about 53.8803937121.

Subtracting from 156420 its reverse (24651), we obtain a square (131769 = 363²).

It can be divided in two parts, 156 and 420, that added together give a square (576 = 24²).

The spelling of 156420 in words is "one hundred fifty-six thousand, four hundred twenty".