36800133552 has 120 divisors (see below), whose sum is σ = 126756060704. Its totient is φ = 9705526272.

The previous prime is 36800133551. The next prime is 36800133581. The reversal of 36800133552 is 25533100863.

It is a super-2 number, since 2×36800133552² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (36800133551) by changing a digit.

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, 1391053 + ... + 1417260.

Almost surely, 2^36800133552 is an apocalyptic number.

It is an amenable number.

36800133552 is an abundant number, since it is smaller than the sum of its proper divisors (89955927152).

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

36800133552 is a wasteful number, since it uses less digits than its factorization.

36800133552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808347 (or 2808338 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 36800133552 in words is "thirty-six billion, eight hundred million, one hundred thirty-three thousand, five hundred fifty-two".