201197596140 has 120 divisors (see below), whose sum is σ = 631424148432. Its totient is φ = 53630605440.

The previous prime is 201197596129. The next prime is 201197596169. The reversal of 201197596140 is 41695791102.

201197596140 is a `hidden beast` number, since 2 + 0 + 1 + 19 + 7 + 596 + 1 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4118055 + ... + 4166625.

Almost surely, 2^201197596140 is an apocalyptic number.

201197596140 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 201197596140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315712074216).

201197596140 is an abundant number, since it is smaller than the sum of its proper divisors (430226552292).

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

201197596140 is a wasteful number, since it uses less digits than its factorization.

201197596140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51149 (or 51138 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 201197596140 in words is "two hundred one billion, one hundred ninety-seven million, five hundred ninety-six thousand, one hundred forty".