153144100 has 36 divisors (see below), whose sum is σ = 334198228. Its totient is φ = 60912000.

The previous prime is 153144077. The next prime is 153144119. The reversal of 153144100 is 1441351.

It can be written as a sum of positive squares in 6 ways, for example, as 13147876 + 139996224 = 3626^2 + 11832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13870 + ... + 22330.

Almost surely, 2^153144100 is an apocalyptic number.

153144100 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 153144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167099114).

153144100 is an abundant number, since it is smaller than the sum of its proper divisors (181054128).

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

153144100 is a wasteful number, since it uses less digits than its factorization.

153144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8656 (or 8649 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 153144100 is about 12375.1404032439. The cubic root of 153144100 is about 535.0159834512.

Adding to 153144100 its reverse (1441351), we get a palindrome (154585451).

The spelling of 153144100 in words is "one hundred fifty-three million, one hundred forty-four thousand, one hundred".