120135384 has 96 divisors (see below), whose sum is σ = 336061440. Its totient is φ = 38750400.

The previous prime is 120135383. The next prime is 120135391. The reversal of 120135384 is 483531021.

It is a happy number.

120135384 is a `hidden beast` number, since 120 + 1 + 3 + 538 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120135383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443169 + ... + 443439.

It is an arithmetic number, because the mean of its divisors is an integer number (3500640).

Almost surely, 2^120135384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120135384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168030720).

120135384 is an abundant number, since it is smaller than the sum of its proper divisors (215926056).

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

120135384 is a wasteful number, since it uses less digits than its factorization.

120135384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 120135384 is about 10960.6288140781. The cubic root of 120135384 is about 493.4278371832.

It can be divided in two parts, 1201 and 35384, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 120135384 in words is "one hundred twenty million, one hundred thirty-five thousand, three hundred eighty-four".