146008052100 has 243 divisors, whose sum is σ = 469330449861. Its totient is φ = 37966449600.

The previous prime is 146008052087. The next prime is 146008052107. The reversal of 146008052100 is 1250800641.

The square root of 146008052100 is 382110.

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

146008052100 is a `hidden beast` number, since 1 + 4 + 60 + 0 + 80 + 521 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52562898756 + 93445153344 = 229266^2 + 305688^2 .

It is not an unprimeable number, because it can be changed into a prime (146008052107) 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, 538774965 + ... + 538775235.

Almost surely, 2^146008052100 is an apocalyptic number.

146008052100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146008052100 is the 382110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146008052100

146008052100 is an abundant number, since it is smaller than the sum of its proper divisors (323322397761).

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

146008052100 is a wasteful number, since it uses less digits than its factorization.

146008052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 146008052100 its reverse (1250800641), we get a palindrome (147258852741).

The spelling of 146008052100 in words is "one hundred forty-six billion, eight million, fifty-two thousand, one hundred".