201402144 has 72 divisors (see below), whose sum is σ = 584962560. Its totient is φ = 65701248.

The previous prime is 201402143. The next prime is 201402161. The reversal of 201402144 is 441204102.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201402143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6097 + ... + 20975.

It is an arithmetic number, because the mean of its divisors is an integer number (8124480).

Almost surely, 2^201402144 is an apocalyptic number.

201402144 is a gapful number since it is divisible by the number (24) 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 201402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

201402144 is an abundant number, since it is smaller than the sum of its proper divisors (383560416).

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

201402144 is a wasteful number, since it uses less digits than its factorization.

201402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14942 (or 14931 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 201402144 is about 14191.6223174097. The cubic root of 201402144 is about 586.1669976430.

Adding to 201402144 its reverse (441204102), we get a palindrome (642606246).

The spelling of 201402144 in words is "two hundred one million, four hundred two thousand, one hundred forty-four".