133910496 has 144 divisors (see below), whose sum is σ = 418554864. Its totient is φ = 41969664.

The previous prime is 133910467. The next prime is 133910501. The reversal of 133910496 is 694019331.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 133910496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131686 + ... + 132698.

It is an arithmetic number, because the mean of its divisors is an integer number (2906631).

Almost surely, 2^133910496 is an apocalyptic number.

133910496 is a gapful number since it is divisible by the number (16) 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 133910496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209277432).

133910496 is an abundant number, since it is smaller than the sum of its proper divisors (284644368).

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

133910496 is a wasteful number, since it uses less digits than its factorization.

133910496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 133910496 is about 11571.9702730348. The cubic root of 133910496 is about 511.6090358449.

The spelling of 133910496 in words is "one hundred thirty-three million, nine hundred ten thousand, four hundred ninety-six".