120525132 has 192 divisors, whose sum is σ = 376570880. Its totient is φ = 29113344.

The previous prime is 120525103. The next prime is 120525133. The reversal of 120525132 is 231525021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 120525099 and 120525108.

It is not an unprimeable number, because it can be changed into a prime (120525133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 767598 + ... + 767754.

Almost surely, 2^120525132 is an apocalyptic number.

120525132 is a gapful number since it is divisible by the number (12) 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 120525132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188285440).

120525132 is an abundant number, since it is smaller than the sum of its proper divisors (256045748).

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

120525132 is a wasteful number, since it uses less digits than its factorization.

120525132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 120525132 is about 10978.3938716007. The cubic root of 120525132 is about 493.9608605968.

The spelling of 120525132 in words is "one hundred twenty million, five hundred twenty-five thousand, one hundred thirty-two".