135378 has 32 divisors (see below), whose sum is σ = 316800. Its totient is φ = 42768.

The previous prime is 135367. The next prime is 135389. The reversal of 135378 is 873531.

It is an interprime number because it is at equal distance from previous prime (135367) and next prime (135389).

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

It is an unprimeable number.

135378 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188 + ... + 1296.

It is an arithmetic number, because the mean of its divisors is an integer number (9900).

2¹³⁵³⁷⁸ is an apocalyptic number.

135378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158400).

135378 is an abundant number, since it is smaller than the sum of its proper divisors (181422).

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

135378 is a wasteful number, since it uses less digits than its factorization.

135378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

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

The square root of 135378 is about 367.9374946917. The cubic root of 135378 is about 51.3471131088.

It can be divided in two parts, 1353 and 78, that added together give a triangular number (1431 = T₅₃).

The spelling of 135378 in words is "one hundred thirty-five thousand, three hundred seventy-eight".