133293672 has 24 divisors (see below), whose sum is σ = 361003890. Its totient is φ = 44431200.

The previous prime is 133293661. The next prime is 133293689. The reversal of 133293672 is 276392331.

It can be written as a sum of positive squares in only one way, i.e., 95765796 + 37527876 = 9786^2 + 6126^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 925579 + ... + 925722.

Almost surely, 2^133293672 is an apocalyptic number.

133293672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133293672 is an abundant number, since it is smaller than the sum of its proper divisors (227710218).

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

133293672 is a wasteful number, since it uses less digits than its factorization.

133293672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851313 (or 1851306 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 133293672 is about 11545.2878699494. The cubic root of 133293672 is about 510.8222951492.

The spelling of 133293672 in words is "one hundred thirty-three million, two hundred ninety-three thousand, six hundred seventy-two".