154400 has 36 divisors (see below), whose sum is σ = 378882. Its totient is φ = 61440.

The previous prime is 154387. The next prime is 154409. The reversal of 154400 is 4451.

154400 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 94864 + 59536 = 308^2 + 244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 704 + ... + 896.

2¹⁵⁴⁴⁰⁰ is an apocalyptic number.

154400 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 154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189441).

154400 is an abundant number, since it is smaller than the sum of its proper divisors (224482).

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

154400 is a wasteful number, since it uses less digits than its factorization.

154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 154400 is about 392.9376540878. The cubic root of 154400 is about 53.6474518526.

Adding to 154400 its reverse (4451), we get a palindrome (158851).

The spelling of 154400 in words is "one hundred fifty-four thousand, four hundred".