136633440 has 96 divisors (see below), whose sum is σ = 432353376. Its totient is φ = 36270080.

The previous prime is 136633429. The next prime is 136633457. The reversal of 136633440 is 44336631.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 136633398 and 136633407.

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, 134374 + ... + 135386.

It is an arithmetic number, because the mean of its divisors is an integer number (4503681).

Almost surely, 2^136633440 is an apocalyptic number.

136633440 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 136633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216176688).

136633440 is an abundant number, since it is smaller than the sum of its proper divisors (295719936).

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

136633440 is a wasteful number, since it uses less digits than its factorization.

136633440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 136633440 is about 11689.0307553706. The cubic root of 136633440 is about 515.0534899040.

The spelling of 136633440 in words is "one hundred thirty-six million, six hundred thirty-three thousand, four hundred forty".