201249179136 has 240 divisors, whose sum is σ = 616289916528. Its totient is φ = 63003033600.

The previous prime is 201249179123. The next prime is 201249179141. The reversal of 201249179136 is 631971942102.

201249179136 is a `hidden beast` number, since 20 + 1 + 2 + 491 + 7 + 9 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 201249179091 and 201249179100.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 40810591 + ... + 40815521.

Almost surely, 2^201249179136 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 201249179136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308144958264).

201249179136 is an abundant number, since it is smaller than the sum of its proper divisors (415040737392).

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

201249179136 is a wasteful number, since it uses less digits than its factorization.

201249179136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 201249179136 in words is "two hundred one billion, two hundred forty-nine million, one hundred seventy-nine thousand, one hundred thirty-six".