133742840 has 128 divisors (see below), whose sum is σ = 378846720. Its totient is φ = 41280000.

The previous prime is 133742839. The next prime is 133742849. The reversal of 133742840 is 48247331.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 133742797 and 133742806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133742849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532715 + ... + 532965.

It is an arithmetic number, because the mean of its divisors is an integer number (2959740).

Almost surely, 2^133742840 is an apocalyptic number.

133742840 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 133742840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189423360).

133742840 is an abundant number, since it is smaller than the sum of its proper divisors (245103880).

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

133742840 is a wasteful number, since it uses less digits than its factorization.

133742840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 133742840 is about 11564.7239482834. The cubic root of 133742840 is about 511.3954350979.

The spelling of 133742840 in words is "one hundred thirty-three million, seven hundred forty-two thousand, eight hundred forty".