133953440 has 48 divisors (see below), whose sum is σ = 317157120. Its totient is φ = 53464320.

The previous prime is 133953433. The next prime is 133953461. The reversal of 133953440 is 44359331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 133953397 and 133953406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145301 + ... + 146219.

It is an arithmetic number, because the mean of its divisors is an integer number (6607440).

Almost surely, 2^133953440 is an apocalyptic number.

133953440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133953440 is an abundant number, since it is smaller than the sum of its proper divisors (183203680).

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

133953440 is an equidigital number, since it uses as much as digits as its factorization.

133953440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 133953440 is about 11573.8256423708. The cubic root of 133953440 is about 511.6637196099.

The spelling of 133953440 in words is "one hundred thirty-three million, nine hundred fifty-three thousand, four hundred forty".