154138320 has 360 divisors, whose sum is σ = 640063944. Its totient is φ = 33030144.

The previous prime is 154138319. The next prime is 154138321. The reversal of 154138320 is 23831451.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (154138319) and next prime (154138321).

It can be written as a sum of positive squares in 4 ways, for example, as 79281216 + 74857104 = 8904^2 + 8652^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154138321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 599632 + ... + 599888.

Almost surely, 2^154138320 is an apocalyptic number.

154138320 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 154138320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320031972).

154138320 is an abundant number, since it is smaller than the sum of its proper divisors (485925624).

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

154138320 is a wasteful number, since it uses less digits than its factorization.

154138320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 154138320 is about 12415.2454667638. The cubic root of 154138320 is about 536.1712714715.

Adding to 154138320 its reverse (23831451), we get a palindrome (177969771).

The spelling of 154138320 in words is "one hundred fifty-four million, one hundred thirty-eight thousand, three hundred twenty".