133464240 has 480 divisors, whose sum is σ = 581837760. Its totient is φ = 27869184.

The previous prime is 133464209. The next prime is 133464277. The reversal of 133464240 is 42464331.

133464240 is a `hidden beast` number, since 13 + 3 + 4 + 642 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1375872 + ... + 1375968.

It is an arithmetic number, because the mean of its divisors is an integer number (1212162).

Almost surely, 2^133464240 is an apocalyptic number.

133464240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290918880).

133464240 is an abundant number, since it is smaller than the sum of its proper divisors (448373520).

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

133464240 is a wasteful number, since it uses less digits than its factorization.

133464240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 133464240 is about 11552.6724181031. The cubic root of 133464240 is about 511.0400919316.

Subtracting from 133464240 its reverse (42464331), we obtain a palindrome (90999909).

The spelling of 133464240 in words is "one hundred thirty-three million, four hundred sixty-four thousand, two hundred forty".