133123640 has 64 divisors (see below), whose sum is σ = 327468960. Its totient is φ = 48407040.

The previous prime is 133123631. The next prime is 133123649. The reversal of 133123640 is 46321331.

It is an interprime number because it is at equal distance from previous prime (133123631) and next prime (133123649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133123649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32930 + ... + 36750.

Almost surely, 2^133123640 is an apocalyptic number.

133123640 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 133123640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163734480).

133123640 is an abundant number, since it is smaller than the sum of its proper divisors (194345320).

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

133123640 is a wasteful number, since it uses less digits than its factorization.

133123640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 133123640 is about 11537.9218232748. The cubic root of 133123640 is about 510.6049977758.

Adding to 133123640 its reverse (46321331), we get a palindrome (179444971).

The spelling of 133123640 in words is "one hundred thirty-three million, one hundred twenty-three thousand, six hundred forty".