136542624 has 48 divisors (see below), whose sum is σ = 360047520. Its totient is φ = 45308160.

The previous prime is 136542613. The next prime is 136542629. The reversal of 136542624 is 426245631.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (136542629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18879 + ... + 25089.

It is an arithmetic number, because the mean of its divisors is an integer number (7500990).

Almost surely, 2^136542624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136542624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180023760).

136542624 is an abundant number, since it is smaller than the sum of its proper divisors (223504896).

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

136542624 is a wasteful number, since it uses less digits than its factorization.

136542624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6453 (or 6445 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 136542624 is about 11685.1454419703. The cubic root of 136542624 is about 514.9393512644.

The spelling of 136542624 in words is "one hundred thirty-six million, five hundred forty-two thousand, six hundred twenty-four".