202145133550400 has 84 divisors (see below), whose sum is σ = 497424085386060. Its totient is φ = 80854685798400.

The previous prime is 202145133550343. The next prime is 202145133550411. The reversal of 202145133550400 is 4055331541202.

202145133550400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7258842962176 + 194886290588224 = 2694224^2 + 13960168^2 .

It is a congruent number.

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, 35974706 + ... + 41212494.

It is an arithmetic number, because the mean of its divisors is an integer number (5921715302215).

Almost surely, 2^{202145133550400} is an apocalyptic number.

202145133550400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202145133550400 is an abundant number, since it is smaller than the sum of its proper divisors (295278951835660).

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

202145133550400 is a wasteful number, since it uses less digits than its factorization.

202145133550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5261932 (or 5261917 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 202145133550400 in words is "two hundred two trillion, one hundred forty-five billion, one hundred thirty-three million, five hundred fifty thousand, four hundred".