145188120 has 256 divisors, whose sum is σ = 572313600. Its totient is φ = 28546560.

The previous prime is 145188091. The next prime is 145188137. The reversal of 145188120 is 21881541.

145188120 = 94² + 95² + ... + 758².

It is a happy number.

145188120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175147 + ... + 175973.

It is an arithmetic number, because the mean of its divisors is an integer number (2235600).

Almost surely, 2^145188120 is an apocalyptic number.

145188120 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 145188120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286156800).

145188120 is an abundant number, since it is smaller than the sum of its proper divisors (427125480).

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

145188120 is a wasteful number, since it uses less digits than its factorization.

145188120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 145188120 is about 12049.4033047284. The cubic root of 145188120 is about 525.5858856070.

The spelling of 145188120 in words is "one hundred forty-five million, one hundred eighty-eight thousand, one hundred twenty".