378135120 has 160 divisors (see below), whose sum is σ = 1308916224. Its totient is φ = 89510400.

The previous prime is 378135119. The next prime is 378135133. The reversal of 378135120 is 21531873.

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, 111855 + ... + 115185.

Almost surely, 2^378135120 is an apocalyptic number.

378135120 is a gapful number since it is divisible by the number (30) 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 378135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654458112).

378135120 is an abundant number, since it is smaller than the sum of its proper divisors (930781104).

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

378135120 is a wasteful number, since it uses less digits than its factorization.

378135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 378135120 is about 19445.6966961845. The cubic root of 378135120 is about 723.1288220111.

Adding to 378135120 its reverse (21531873), we get a palindrome (399666993).

The spelling of 378135120 in words is "three hundred seventy-eight million, one hundred thirty-five thousand, one hundred twenty".