135066624 has 176 divisors, whose sum is σ = 449619456. Its totient is φ = 35020800.

The previous prime is 135066623. The next prime is 135066661. The reversal of 135066624 is 426660531.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135066623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236259 + ... + 236829.

It is an arithmetic number, because the mean of its divisors is an integer number (2554656).

Almost surely, 2^135066624 is an apocalyptic number.

135066624 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 135066624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224809728).

135066624 is an abundant number, since it is smaller than the sum of its proper divisors (314552832).

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

135066624 is a wasteful number, since it uses less digits than its factorization.

135066624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 135066624 is about 11621.8167254522. The cubic root of 135066624 is about 513.0771593374.

The spelling of 135066624 in words is "one hundred thirty-five million, sixty-six thousand, six hundred twenty-four".