133971936 has 96 divisors (see below), whose sum is σ = 407570688. Its totient is φ = 37739520.

The previous prime is 133971923. The next prime is 133971973. The reversal of 133971936 is 639179331.

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 (42).

It is a zygodrome in base 2.

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, 47691 + ... + 50421.

It is an arithmetic number, because the mean of its divisors is an integer number (4245528).

Almost surely, 2^133971936 is an apocalyptic number.

133971936 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 133971936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203785344).

133971936 is an abundant number, since it is smaller than the sum of its proper divisors (273598752).

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

133971936 is a wasteful number, since it uses less digits than its factorization.

133971936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2816 counting only the distinct ones).

The product of its digits is 91854, while the sum is 42.

The square root of 133971936 is about 11574.6246591412. The cubic root of 133971936 is about 511.6872683310.

The spelling of 133971936 in words is "one hundred thirty-three million, nine hundred seventy-one thousand, nine hundred thirty-six".