133919136 has 96 divisors (see below), whose sum is σ = 420678720. Its totient is φ = 41202432.

The previous prime is 133919119. The next prime is 133919207. The reversal of 133919136 is 631919331.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 133919136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5271 + ... + 17193.

It is an arithmetic number, because the mean of its divisors is an integer number (4382070).

Almost surely, 2^133919136 is an apocalyptic number.

133919136 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 133919136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210339360).

133919136 is an abundant number, since it is smaller than the sum of its proper divisors (286759584).

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

133919136 is a wasteful number, since it uses less digits than its factorization.

133919136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11955 (or 11941 counting only the distinct ones).

The product of its digits is 13122, while the sum is 36.

The square root of 133919136 is about 11572.3435828703. The cubic root of 133919136 is about 511.6200387340.

The spelling of 133919136 in words is "one hundred thirty-three million, nine hundred nineteen thousand, one hundred thirty-six".