135388624 has 60 divisors (see below), whose sum is σ = 308459424. Its totient is φ = 56391552.

The previous prime is 135388621. The next prime is 135388633. The reversal of 135388624 is 426883531.

It is a super-2 number, since 2×135388624² = 36660159017226752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135388621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152887 + ... + 153769.

Almost surely, 2^135388624 is an apocalyptic number.

135388624 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 135388624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154229712).

135388624 is an abundant number, since it is smaller than the sum of its proper divisors (173070800).

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

135388624 is an equidigital number, since it uses as much as digits as its factorization.

135388624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 929 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 135388624 is about 11635.6617345126. The cubic root of 135388624 is about 513.4845625532.

The spelling of 135388624 in words is "one hundred thirty-five million, three hundred eighty-eight thousand, six hundred twenty-four".