135078624 has 96 divisors (see below), whose sum is σ = 399168000. Its totient is φ = 44433792.

The previous prime is 135078623. The next prime is 135078631. The reversal of 135078624 is 426870531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135078623) 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, 67267 + ... + 69245.

It is an arithmetic number, because the mean of its divisors is an integer number (4158000).

Almost surely, 2^135078624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135078624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584000).

135078624 is an abundant number, since it is smaller than the sum of its proper divisors (264089376).

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

135078624 is a wasteful number, since it uses less digits than its factorization.

135078624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 135078624 is about 11622.3329843883. The cubic root of 135078624 is about 513.0923536749.

The spelling of 135078624 in words is "one hundred thirty-five million, seventy-eight thousand, six hundred twenty-four".