133681608090 has 128 divisors (see below), whose sum is σ = 391562035200. Its totient is φ = 32303810880.

The previous prime is 133681608083. The next prime is 133681608091. The reversal of 133681608090 is 90806186331.

It is a happy number.

133681608090 is a `hidden beast` number, since 1 + 3 + 36 + 8 + 1 + 608 + 0 + 9 + 0 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133681608091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448506 + ... + 684485.

It is an arithmetic number, because the mean of its divisors is an integer number (3059078400).

Almost surely, 2^133681608090 is an apocalyptic number.

133681608090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133681608090 is an abundant number, since it is smaller than the sum of its proper divisors (257880427110).

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

133681608090 is a wasteful number, since it uses less digits than its factorization.

133681608090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133049 (or 1133043 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 133681608090 in words is "one hundred thirty-three billion, six hundred eighty-one million, six hundred eight thousand, ninety".