133090848 has 144 divisors (see below), whose sum is σ = 422918496. Its totient is φ = 39352320.

The previous prime is 133090847. The next prime is 133090861. The reversal of 133090848 is 848090331.

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 not an unprimeable number, because it can be changed into a prime (133090847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135736 + ... + 136712.

It is an arithmetic number, because the mean of its divisors is an integer number (2936934).

Almost surely, 2^133090848 is an apocalyptic number.

133090848 is a gapful number since it is divisible by the number (18) 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 133090848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211459248).

133090848 is an abundant number, since it is smaller than the sum of its proper divisors (289827648).

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

133090848 is a wasteful number, since it uses less digits than its factorization.

133090848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 133090848 is about 11536.5006826160. The cubic root of 133090848 is about 510.5630689991.

The spelling of 133090848 in words is "one hundred thirty-three million, ninety thousand, eight hundred forty-eight".