135464160 has 192 divisors, whose sum is σ = 486948672. Its totient is φ = 31358976.

The previous prime is 135464149. The next prime is 135464183. The reversal of 135464160 is 61464531.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105442 + ... + 106718.

It is an arithmetic number, because the mean of its divisors is an integer number (2536191).

Almost surely, 2^135464160 is an apocalyptic number.

135464160 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 135464160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243474336).

135464160 is an abundant number, since it is smaller than the sum of its proper divisors (351484512).

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

135464160 is a wasteful number, since it uses less digits than its factorization.

135464160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 135464160 is about 11638.9071651938. The cubic root of 135464160 is about 513.5800392083.

The spelling of 135464160 in words is "one hundred thirty-five million, four hundred sixty-four thousand, one hundred sixty".