133643040 has 96 divisors (see below), whose sum is σ = 422573760. Its totient is φ = 35503104.

The previous prime is 133643039. The next prime is 133643057. The reversal of 133643040 is 40346331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 133643040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244047 + ... + 244593.

It is an arithmetic number, because the mean of its divisors is an integer number (4401810).

Almost surely, 2^133643040 is an apocalyptic number.

133643040 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 133643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211286880).

133643040 is an abundant number, since it is smaller than the sum of its proper divisors (288930720).

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

133643040 is a wasteful number, since it uses less digits than its factorization.

133643040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 133643040 is about 11560.4082972878. The cubic root of 133643040 is about 511.2682009609.

Adding to 133643040 its reverse (40346331), we get a palindrome (173989371).

The spelling of 133643040 in words is "one hundred thirty-three million, six hundred forty-three thousand, forty".