152111120 has 80 divisors (see below), whose sum is σ = 407116800. Its totient is φ = 51773952.

The previous prime is 152111101. The next prime is 152111123. The reversal of 152111120 is 21111251.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 152111095 and 152111104.

It is not an unprimeable number, because it can be changed into a prime (152111123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82529 + ... + 84351.

It is an arithmetic number, because the mean of its divisors is an integer number (5088960).

Almost surely, 2^152111120 is an apocalyptic number.

152111120 is a gapful number since it is divisible by the number (10) 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 152111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

152111120 is an abundant number, since it is smaller than the sum of its proper divisors (255005680).

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

152111120 is a wasteful number, since it uses less digits than its factorization.

152111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 14.

The square root of 152111120 is about 12333.3336936937. Note that the first 3 decimals coincide. The cubic root of 152111120 is about 533.8103475361.

Adding to 152111120 its reverse (21111251), we get a palindrome (173222371).

The spelling of 152111120 in words is "one hundred fifty-two million, one hundred eleven thousand, one hundred twenty".