136909440 has 320 divisors, whose sum is σ = 518364000. Its totient is φ = 34338816.

The previous prime is 136909411. The next prime is 136909469. The reversal of 136909440 is 44909631.

It is an interprime number because it is at equal distance from previous prime (136909411) and next prime (136909469).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×136909440² = 37488389522227200, which contains 22 as substring.

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 = 136909395 and 136909404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 984891 + ... + 985029.

Almost surely, 2^136909440 is an apocalyptic number.

136909440 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 136909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259182000).

136909440 is an abundant number, since it is smaller than the sum of its proper divisors (381454560).

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

136909440 is a wasteful number, since it uses less digits than its factorization.

136909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 136909440 is about 11700.8307397381. The cubic root of 136909440 is about 515.4000599013.

The spelling of 136909440 in words is "one hundred thirty-six million, nine hundred nine thousand, four hundred forty".