133500335445000 has 120 divisors (see below), whose sum is σ = 451809635409990. Its totient is φ = 35600089440000.

The previous prime is 133500335444989. The next prime is 133500335445007. The reversal of 133500335445000 is 544533005331.

133500335445000 is a `hidden beast` number, since 1 + 3 + 35 + 0 + 0 + 33 + 544 + 50 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 2074792491396 + 131425542953604 = 1440414^2 + 11464098^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (133500335445007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1483292061 + ... + 1483382060.

Almost surely, 2^{133500335445000} is an apocalyptic number.

133500335445000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133500335445000 is an abundant number, since it is smaller than the sum of its proper divisors (318309299964990).

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

133500335445000 is a wasteful number, since it uses less digits than its factorization.

133500335445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966674153 (or 2966674131 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 133500335445000 in words is "one hundred thirty-three trillion, five hundred billion, three hundred thirty-five million, four hundred forty-five thousand".