133562640 has 80 divisors (see below), whose sum is σ = 416491200. Its totient is φ = 35406336.

The previous prime is 133562617. The next prime is 133562641. The reversal of 133562640 is 46265331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 133562598 and 133562607.

It is not an unprimeable number, because it can be changed into a prime (133562641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41406 + ... + 44514.

It is an arithmetic number, because the mean of its divisors is an integer number (5206140).

Almost surely, 2^133562640 is an apocalyptic number.

133562640 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 133562640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208245600).

133562640 is an abundant number, since it is smaller than the sum of its proper divisors (282928560).

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

133562640 is a wasteful number, since it uses less digits than its factorization.

133562640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 133562640 is about 11556.9303882995. The cubic root of 133562640 is about 511.1656536347.

It can be divided in two parts, 13 and 3562640, that added together give a palindrome (3562653).

The spelling of 133562640 in words is "one hundred thirty-three million, five hundred sixty-two thousand, six hundred forty".