135045624 has 64 divisors (see below), whose sum is σ = 386749440. Its totient is φ = 38494080.

The previous prime is 135045623. The next prime is 135045649. The reversal of 135045624 is 426540531.

It is a junction number, because it is equal to n+sod(n) for n = 135045591 and 135045600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135045623) 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 15 ways as a sum of consecutive naturals, for example, 109089 + ... + 110319.

It is an arithmetic number, because the mean of its divisors is an integer number (6042960).

Almost surely, 2^135045624 is an apocalyptic number.

135045624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135045624 is an abundant number, since it is smaller than the sum of its proper divisors (251703816).

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

135045624 is a wasteful number, since it uses less digits than its factorization.

135045624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 135045624 is about 11620.9132171271. The cubic root of 135045624 is about 513.0505670812.

The spelling of 135045624 in words is "one hundred thirty-five million, forty-five thousand, six hundred twenty-four".