133577640 has 128 divisors (see below), whose sum is σ = 508896000. Its totient is φ = 30530304.

The previous prime is 133577621. The next prime is 133577677. The reversal of 133577640 is 46775331.

133577640 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 7 + 7 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133577595 and 133577604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1275 + ... + 16394.

It is an arithmetic number, because the mean of its divisors is an integer number (3975750).

Almost surely, 2^133577640 is an apocalyptic number.

133577640 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 133577640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254448000).

133577640 is an abundant number, since it is smaller than the sum of its proper divisors (375318360).

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

133577640 is a wasteful number, since it uses less digits than its factorization.

133577640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17696 (or 17686 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 133577640 is about 11557.5793313306. The cubic root of 133577640 is about 511.1847887206.

The spelling of 133577640 in words is "one hundred thirty-three million, five hundred seventy-seven thousand, six hundred forty".