133953408 has 48 divisors (see below), whose sum is σ = 385468200. Its totient is φ = 44650752.

The previous prime is 133953361. The next prime is 133953409. The reversal of 133953408 is 804359331.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133953409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56988 + ... + 59291.

Almost surely, 2^133953408 is an apocalyptic number.

133953408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133953408 is an abundant number, since it is smaller than the sum of its proper divisors (251514792).

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

133953408 is a wasteful number, since it uses less digits than its factorization.

133953408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116299 (or 116284 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 133953408 is about 11573.8242599411. The cubic root of 133953408 is about 511.6636788663.

The spelling of 133953408 in words is "one hundred thirty-three million, nine hundred fifty-three thousand, four hundred eight".