133769736 has 96 divisors (see below), whose sum is σ = 385945560. Its totient is φ = 41711616.

The previous prime is 133769729. The next prime is 133769761. The reversal of 133769736 is 637967331.

It can be written as a sum of positive squares in 4 ways, for example, as 133402500 + 367236 = 11550^2 + 606^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133769691 and 133769700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358446 + ... + 358818.

Almost surely, 2^133769736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133769736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192972780).

133769736 is an abundant number, since it is smaller than the sum of its proper divisors (252175824).

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

133769736 is a wasteful number, since it uses less digits than its factorization.

133769736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 688 counting only the distinct ones).

The product of its digits is 428652, while the sum is 45.

The square root of 133769736 is about 11565.8867364331. The cubic root of 133769736 is about 511.4297137422.

The spelling of 133769736 in words is "one hundred thirty-three million, seven hundred sixty-nine thousand, seven hundred thirty-six".