135178016 has 72 divisors (see below), whose sum is σ = 289650816. Its totient is φ = 62059520.

The previous prime is 135178009. The next prime is 135178039. The reversal of 135178016 is 610871531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 434501 + ... + 434811.

It is an arithmetic number, because the mean of its divisors is an integer number (4022928).

Almost surely, 2^135178016 is an apocalyptic number.

135178016 is a gapful number since it is divisible by the number (16) 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 135178016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144825408).

135178016 is an abundant number, since it is smaller than the sum of its proper divisors (154472800).

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

135178016 is a wasteful number, since it uses less digits than its factorization.

135178016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 135178016 is about 11626.6081038280. The cubic root of 135178016 is about 513.2181687267.

The spelling of 135178016 in words is "one hundred thirty-five million, one hundred seventy-eight thousand, sixteen".