200106193537152 has 640 divisors, whose sum is σ = 747554584550400. Its totient is φ = 51809114142720.

The previous prime is 200106193537127. The next prime is 200106193537207. The reversal of 200106193537152 is 251735391601002.

200106193537152 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 0 + 61 + 9 + 3 + 537 + 1 + 52 = 666.

200106193537152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×200106193537152² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200106193537098 and 200106193537107.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28561027 + ... + 34870397.

It is an arithmetic number, because the mean of its divisors is an integer number (1168054038360).

Almost surely, 2^{200106193537152} 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 200106193537152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373777292275200).

200106193537152 is an abundant number, since it is smaller than the sum of its proper divisors (547448391013248).

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

200106193537152 is a wasteful number, since it uses less digits than its factorization.

200106193537152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6309446 (or 6309425 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 200106193537152 in words is "two hundred trillion, one hundred six billion, one hundred ninety-three million, five hundred thirty-seven thousand, one hundred fifty-two".