135073008 has 180 divisors, whose sum is σ = 456663480. Its totient is φ = 38537856.

The previous prime is 135072989. The next prime is 135073031. The reversal of 135073008 is 800370531.

135073008 is a `hidden beast` number, since 1 + 350 + 7 + 300 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190158 + ... + 190866.

Almost surely, 2^135073008 is an apocalyptic number.

135073008 is a gapful number since it is divisible by the number (18) 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 135073008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228331740).

135073008 is an abundant number, since it is smaller than the sum of its proper divisors (321590472).

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

135073008 is an equidigital number, since it uses as much as digits as its factorization.

135073008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 135073008 is about 11622.0913780610. The cubic root of 135073008 is about 513.0852428370.

The spelling of 135073008 in words is "one hundred thirty-five million, seventy-three thousand, eight".