202254057144 has 384 divisors, whose sum is σ = 617041152000. Its totient is φ = 59578675200.

The previous prime is 202254057139. The next prime is 202254057151. The reversal of 202254057144 is 441750452202.

202254057144 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 5 + 40 + 571 + 44 = 666.

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 = 202254057099 and 202254057108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154746139 + ... + 154747445.

It is an arithmetic number, because the mean of its divisors is an integer number (1606878000).

Almost surely, 2^202254057144 is an apocalyptic number.

202254057144 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 202254057144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308520576000).

202254057144 is an abundant number, since it is smaller than the sum of its proper divisors (414787094856).

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

202254057144 is a wasteful number, since it uses less digits than its factorization.

202254057144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 202254057144 in words is "two hundred two billion, two hundred fifty-four million, fifty-seven thousand, one hundred forty-four".