152110080 has 132 divisors (see below), whose sum is σ = 527217132. Its totient is φ = 40550400.

The previous prime is 152110073. The next prime is 152110081. The reversal of 152110080 is 80011251.

It can be written as a sum of positive squares in 2 ways, for example, as 42614784 + 109495296 = 6528^2 + 10464^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152110081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44430 + ... + 47730.

Almost surely, 2^152110080 is an apocalyptic number.

152110080 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 152110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263608566).

152110080 is an abundant number, since it is smaller than the sum of its proper divisors (375107052).

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

152110080 is a wasteful number, since it uses less digits than its factorization.

152110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 152110080 is about 12333.2915314607. The cubic root of 152110080 is about 533.8091309605.

The spelling of 152110080 in words is "one hundred fifty-two million, one hundred ten thousand, eighty".