120142152 has 96 divisors (see below), whose sum is σ = 358001280. Its totient is φ = 36167040.

The previous prime is 120142147. The next prime is 120142201. The reversal of 120142152 is 251241021.

It is a super-2 number, since 2×120142152² = 28868273374382208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42627 + ... + 45357.

It is an arithmetic number, because the mean of its divisors is an integer number (3729180).

Almost surely, 2^120142152 is an apocalyptic number.

120142152 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 120142152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179000640).

120142152 is an abundant number, since it is smaller than the sum of its proper divisors (237859128).

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

120142152 is a wasteful number, since it uses less digits than its factorization.

120142152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 120142152 is about 10960.9375511404. The cubic root of 120142152 is about 493.4371029987.

Adding to 120142152 its reverse (251241021), we get a palindrome (371383173).

The spelling of 120142152 in words is "one hundred twenty million, one hundred forty-two thousand, one hundred fifty-two".