153144400 has 30 divisors (see below), whose sum is σ = 367930382. Its totient is φ = 61257600.

The previous prime is 153144359. The next prime is 153144413. The reversal of 153144400 is 4441351.

It can be written as a sum of positive squares in 3 ways, for example, as 27793984 + 125350416 = 5272^2 + 11196^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 191031 + ... + 191830.

Almost surely, 2^153144400 is an apocalyptic number.

153144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153144400 is an abundant number, since it is smaller than the sum of its proper divisors (214785982).

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

153144400 is a wasteful number, since it uses less digits than its factorization.

153144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382879 (or 382868 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 153144400 is about 12375.1525243126. The cubic root of 153144400 is about 535.0163328056.

Adding to 153144400 its reverse (4441351), we get a palindrome (157585751).

The spelling of 153144400 in words is "one hundred fifty-three million, one hundred forty-four thousand, four hundred".