133364340 has 48 divisors (see below), whose sum is σ = 414912960. Its totient is φ = 35563680.

The previous prime is 133364323. The next prime is 133364347. The reversal of 133364340 is 43463331.

133364340 is a `hidden beast` number, since 13 + 3 + 3 + 643 + 4 + 0 = 666.

It is a super-3 number, since 3×133364340³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133364347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122946 + ... + 124025.

It is an arithmetic number, because the mean of its divisors is an integer number (8644020).

Almost surely, 2^133364340 is an apocalyptic number.

133364340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133364340 is an abundant number, since it is smaller than the sum of its proper divisors (281548620).

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

133364340 is a wasteful number, since it uses less digits than its factorization.

133364340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246989 (or 246981 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 133364340 is about 11548.3479337956. The cubic root of 133364340 is about 510.9125530282.

The spelling of 133364340 in words is "one hundred thirty-three million, three hundred sixty-four thousand, three hundred forty".