136440 has 48 divisors (see below), whose sum is σ = 444600. Its totient is φ = 36288.

The previous prime is 136429. The next prime is 136447. The reversal of 136440 is 44631.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 136440.

It is not an unprimeable number, because it can be changed into a prime (136447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171 + ... + 549.

2¹³⁶⁴⁴⁰ is an apocalyptic number.

136440 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 136440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222300).

136440 is an abundant number, since it is smaller than the sum of its proper divisors (308160).

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

136440 is a wasteful number, since it uses less digits than its factorization.

136440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 136440 is about 369.3778553189. The cubic root of 136440 is about 51.4810311264.

Subtracting from 136440 its reverse (44631), we obtain a square (91809 = 303²).

It can be divided in two parts, 136 and 440, that added together give a square (576 = 24²).

The spelling of 136440 in words is "one hundred thirty-six thousand, four hundred forty".