156400 has 60 divisors (see below), whose sum is σ = 415152. Its totient is φ = 56320.

The previous prime is 156371. The next prime is 156419. The reversal of 156400 is 4651.

Added to its reverse (4651) it gives a 5-th power (161051 = 11⁵).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

156400 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 11 ways as a sum of consecutive naturals, for example, 6789 + ... + 6811.

2¹⁵⁶⁴⁰⁰ is an apocalyptic number.

156400 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 156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207576).

156400 is an abundant number, since it is smaller than the sum of its proper divisors (258752).

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

156400 is a wasteful number, since it uses less digits than its factorization.

156400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 156400 is about 395.4743986657. The cubic root of 156400 is about 53.8780972159.

Adding to 156400 its product of nonzero digits (120), we get a triangular number (156520 = T₅₅₉).

Adding to 156400 its reverse (4651), we get a 5-th power (161051 = 11⁵).

The spelling of 156400 in words is "one hundred fifty-six thousand, four hundred".