135001384 has 64 divisors (see below), whose sum is σ = 306633600. Its totient is φ = 54432000.

The previous prime is 135001367. The next prime is 135001393. The reversal of 135001384 is 483100531.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192234 + ... + 192934.

It is an arithmetic number, because the mean of its divisors is an integer number (4791150).

Almost surely, 2^135001384 is an apocalyptic number.

135001384 is a gapful number since it is divisible by the number (14) 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 135001384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

135001384 is an abundant number, since it is smaller than the sum of its proper divisors (171632216).

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

135001384 is a wasteful number, since it uses less digits than its factorization.

135001384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 135001384 is about 11619.0095963468. The cubic root of 135001384 is about 512.9945370390.

It can be divided in two parts, 13500 and 1384, that added together give a square (14884 = 122²).

The spelling of 135001384 in words is "one hundred thirty-five million, one thousand, three hundred eighty-four".