200136613649400 has 1536 divisors, whose sum is σ = 749752812748800. Its totient is φ = 48934940313600.

The previous prime is 200136613649389. The next prime is 200136613649447. The reversal of 200136613649400 is 4946316631002.

200136613649400 is a `hidden beast` number, since 2 + 0 + 0 + 13 + 66 + 136 + 49 + 400 = 666.

It is a super-2 number, since 2×200136613649400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 246777574995 + ... + 246777575805.

It is an arithmetic number, because the mean of its divisors is an integer number (488120320800).

Almost surely, 2^{200136613649400} is an apocalyptic number.

200136613649400 is a gapful number since it is divisible by the number (20) 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 200136613649400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374876406374400).

200136613649400 is an abundant number, since it is smaller than the sum of its proper divisors (549616199099400).

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

200136613649400 is a wasteful number, since it uses less digits than its factorization.

200136613649400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 200136613649400 in words is "two hundred trillion, one hundred thirty-six billion, six hundred thirteen million, six hundred forty-nine thousand, four hundred".