136225440 has 288 divisors, whose sum is σ = 528353280. Its totient is φ = 31684608.

The previous prime is 136225433. The next prime is 136225451. The reversal of 136225440 is 44522631.

136225440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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, 355489 + ... + 355871.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^136225440 is an apocalyptic number.

136225440 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 136225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

136225440 is an abundant number, since it is smaller than the sum of its proper divisors (392127840).

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

136225440 is a wasteful number, since it uses less digits than its factorization.

136225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 136225440 is about 11671.5654477024. The cubic root of 136225440 is about 514.5403130927.

The spelling of 136225440 in words is "one hundred thirty-six million, two hundred twenty-five thousand, four hundred forty".