136459440 has 240 divisors, whose sum is σ = 503717760. Its totient is φ = 32901120.

The previous prime is 136459409. The next prime is 136459451. The reversal of 136459440 is 44954631.

136459440 is a `hidden beast` number, since 1 + 3 + 64 + 594 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×136459440² = 37242357530227200, 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 = 136459395 and 136459404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 570841 + ... + 571079.

It is an arithmetic number, because the mean of its divisors is an integer number (2098824).

Almost surely, 2^136459440 is an apocalyptic number.

136459440 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 136459440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251858880).

136459440 is an abundant number, since it is smaller than the sum of its proper divisors (367258320).

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

136459440 is a wasteful number, since it uses less digits than its factorization.

136459440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 136459440 is about 11681.5855088254. The cubic root of 136459440 is about 514.8347601967.

The spelling of 136459440 in words is "one hundred thirty-six million, four hundred fifty-nine thousand, four hundred forty".