120181536 has 96 divisors (see below), whose sum is σ = 369028800. Its totient is φ = 37946880.

The previous prime is 120181511. The next prime is 120181541. The reversal of 120181536 is 635181021.

120181536 is a `hidden beast` number, since 120 + 1 + 8 + 1 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 12756 + ... + 20076.

It is an arithmetic number, because the mean of its divisors is an integer number (3844050).

Almost surely, 2^120181536 is an apocalyptic number.

120181536 is a gapful number since it is divisible by the number (16) 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 120181536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184514400).

120181536 is an abundant number, since it is smaller than the sum of its proper divisors (248847264).

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

120181536 is a wasteful number, since it uses less digits than its factorization.

120181536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7359 (or 7345 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 120181536 is about 10962.7339655763. The cubic root of 120181536 is about 493.4910152557.

The spelling of 120181536 in words is "one hundred twenty million, one hundred eighty-one thousand, five hundred thirty-six".