202489200144 has 405 divisors, whose sum is σ = 726076119951. Its totient is φ = 52486600320.

The previous prime is 202489200127. The next prime is 202489200149. The reversal of 202489200144 is 441002984202.

The square root of 202489200144 is 449988.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×202489200144³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 202489200099 and 202489200108.

It is not an unprimeable number, because it can be changed into a prime (202489200149) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 415788669 + ... + 415789155.

Almost surely, 2^202489200144 is an apocalyptic number.

202489200144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

202489200144 is the 449988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202489200144

202489200144 is an abundant number, since it is smaller than the sum of its proper divisors (523586919807).

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

202489200144 is a wasteful number, since it uses less digits than its factorization.

202489200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 202489200144 by its sum of digits (36), we get a square (7289611205184 = 2699928²).

202489200144 divided by its sum of digits (36) gives a square (5624700004 = 74998²).

The spelling of 202489200144 in words is "two hundred two billion, four hundred eighty-nine million, two hundred thousand, one hundred forty-four".