135428160 has 168 divisors, whose sum is σ = 500359680. Its totient is φ = 30944256.

The previous prime is 135428159. The next prime is 135428191. The reversal of 135428160 is 61824531.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45601 + ... + 48479.

Almost surely, 2^135428160 is an apocalyptic number.

135428160 is a gapful number since it is divisible by the number (10) 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 135428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250179840).

135428160 is an abundant number, since it is smaller than the sum of its proper divisors (364931520).

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

135428160 is a wasteful number, since it uses less digits than its factorization.

135428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 135428160 is about 11637.3605254800. The cubic root of 135428160 is about 513.5345400409.

The spelling of 135428160 in words is "one hundred thirty-five million, four hundred twenty-eight thousand, one hundred sixty".