201396135600 has 360 divisors, whose sum is σ = 783049046832. Its totient is φ = 47503411200.

The previous prime is 201396135593. The next prime is 201396135613. The reversal of 201396135600 is 6531693102.

201396135600 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 96 + 1 + 3 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×201396135600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1396474 + ... + 1533926.

Almost surely, 2^201396135600 is an apocalyptic number.

201396135600 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 201396135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391524523416).

201396135600 is an abundant number, since it is smaller than the sum of its proper divisors (581652911232).

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

201396135600 is a wasteful number, since it uses less digits than its factorization.

201396135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137525 (or 137511 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 201396135600 in words is "two hundred one billion, three hundred ninety-six million, one hundred thirty-five thousand, six hundred".