135612624 has 80 divisors (see below), whose sum is σ = 402867072. Its totient is φ = 38505984.

The previous prime is 135612563. The next prime is 135612649. The reversal of 135612624 is 426216531.

It is a junction number, because it is equal to n+sod(n) for n = 135612591 and 135612600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56962 + ... + 59294.

Almost surely, 2^135612624 is an apocalyptic number.

135612624 is a gapful number since it is divisible by the number (14) 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 135612624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201433536).

135612624 is an abundant number, since it is smaller than the sum of its proper divisors (267254448).

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

135612624 is a wasteful number, since it uses less digits than its factorization.

135612624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2518 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 135612624 is about 11645.2833370425. The cubic root of 135612624 is about 513.7675926512.

The spelling of 135612624 in words is "one hundred thirty-five million, six hundred twelve thousand, six hundred twenty-four".