135052624 has 60 divisors (see below), whose sum is σ = 322322004. Its totient is φ = 54469632.

The previous prime is 135052583. The next prime is 135052649. The reversal of 135052624 is 426250531.

It can be written as a sum of positive squares in 2 ways, for example, as 106750224 + 28302400 = 10332^2 + 5320^2 .

It is a super-2 number, since 2×135052624² = 36478422498570752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 135052592 and 135052601.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8262 + ... + 18394.

Almost surely, 2^135052624 is an apocalyptic number.

135052624 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 135052624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161161002).

135052624 is an abundant number, since it is smaller than the sum of its proper divisors (187269380).

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

135052624 is a wasteful number, since it uses less digits than its factorization.

135052624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10172 (or 10159 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 135052624 is about 11621.2143943738. The cubic root of 135052624 is about 513.0594314729.

It can be divided in two parts, 13505 and 2624, that added together give a square (16129 = 127²).

The spelling of 135052624 in words is "one hundred thirty-five million, fifty-two thousand, six hundred twenty-four".