202145408 has 64 divisors (see below), whose sum is σ = 433989600. Its totient is φ = 93477888.

The previous prime is 202145407. The next prime is 202145429. The reversal of 202145408 is 804541202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (202145407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103610 + ... + 105542.

Almost surely, 2^202145408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216994800).

202145408 is an abundant number, since it is smaller than the sum of its proper divisors (231844192).

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

202145408 is a wasteful number, since it uses less digits than its factorization.

202145408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 202145408 is about 14217.7849188965. The cubic root of 202145408 is about 586.8871852361.

The spelling of 202145408 in words is "two hundred two million, one hundred forty-five thousand, four hundred eight".