133467920 has 40 divisors (see below), whose sum is σ = 311110296. Its totient is φ = 53250048.

The previous prime is 133467911. The next prime is 133467923. The reversal of 133467920 is 29764331.

It can be written as a sum of positive squares in 4 ways, for example, as 24641296 + 108826624 = 4964^2 + 10432^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (133467923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32714 + ... + 36566.

Almost surely, 2^133467920 is an apocalyptic number.

133467920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133467920 is an abundant number, since it is smaller than the sum of its proper divisors (177642376).

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

133467920 is a wasteful number, since it uses less digits than its factorization.

133467920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 133467920 is about 11552.8316875128. The cubic root of 133467920 is about 511.0447888458.

The spelling of 133467920 in words is "one hundred thirty-three million, four hundred sixty-seven thousand, nine hundred twenty".