133459040 has 192 divisors, whose sum is σ = 391184640. Its totient is φ = 42301440.

The previous prime is 133459019. The next prime is 133459069. The reversal of 133459040 is 40954331.

It is a super-2 number, since 2×133459040² = 35622630715443200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133458994 and 133459012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434567 + ... + 434873.

It is an arithmetic number, because the mean of its divisors is an integer number (2037420).

Almost surely, 2^133459040 is an apocalyptic number.

133459040 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 133459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195592320).

133459040 is an abundant number, since it is smaller than the sum of its proper divisors (257725600).

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

133459040 is a wasteful number, since it uses less digits than its factorization.

133459040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 133459040 is about 11552.4473597589. The cubic root of 133459040 is about 511.0334548405.

The spelling of 133459040 in words is "one hundred thirty-three million, four hundred fifty-nine thousand, forty".