133769340 has 192 divisors, whose sum is σ = 439971840. Its totient is φ = 33696000.

The previous prime is 133769327. The next prime is 133769351. The reversal of 133769340 is 43967331.

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

It is a junction number, because it is equal to n+sod(n) for n = 133769295 and 133769304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1021075 + ... + 1021205.

It is an arithmetic number, because the mean of its divisors is an integer number (2291520).

Almost surely, 2^133769340 is an apocalyptic number.

133769340 is a gapful number since it is divisible by the number (10) 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 133769340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219985920).

133769340 is an abundant number, since it is smaller than the sum of its proper divisors (306202500).

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

133769340 is a wasteful number, since it uses less digits than its factorization.

133769340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 133769340 is about 11565.8696171105. The cubic root of 133769340 is about 511.4292090780.

The spelling of 133769340 in words is "one hundred thirty-three million, seven hundred sixty-nine thousand, three hundred forty".