154336400 has 60 divisors (see below), whose sum is σ = 372564324. Its totient is φ = 61440000.

The previous prime is 154336379. The next prime is 154336433. The reversal of 154336400 is 4633451.

It can be written as a sum of positive squares in 6 ways, for example, as 18939904 + 135396496 = 4352^2 + 11636^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 154336400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95600 + ... + 97200.

Almost surely, 2^154336400 is an apocalyptic number.

154336400 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 154336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186282162).

154336400 is an abundant number, since it is smaller than the sum of its proper divisors (218227924).

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

154336400 is a wasteful number, since it uses less digits than its factorization.

154336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 154336400 is about 12423.2201944584. The cubic root of 154336400 is about 536.4008474005.

Adding to 154336400 its reverse (4633451), we get a palindrome (158969851).

The spelling of 154336400 in words is "one hundred fifty-four million, three hundred thirty-six thousand, four hundred".