133749972 has 36 divisors (see below), whose sum is σ = 349751220. Its totient is φ = 43045632.

The previous prime is 133749961. The next prime is 133749977. The reversal of 133749972 is 279947331.

It can be written as a sum of positive squares in 2 ways, for example, as 39388176 + 94361796 = 6276^2 + 9714^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133749977) 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 11 ways as a sum of consecutive naturals, for example, 63013 + ... + 65100.

Almost surely, 2^133749972 is an apocalyptic number.

133749972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133749972 is an abundant number, since it is smaller than the sum of its proper divisors (216001248).

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

133749972 is a wasteful number, since it uses less digits than its factorization.

133749972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128152 (or 128147 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 133749972 is about 11565.0322956748. The cubic root of 133749972 is about 511.4045251980.

The spelling of 133749972 in words is "one hundred thirty-three million, seven hundred forty-nine thousand, nine hundred seventy-two".