145311120 has 60 divisors (see below), whose sum is σ = 488005596. Its totient is φ = 38749440.

The previous prime is 145311119. The next prime is 145311151. The reversal of 145311120 is 21113541.

145311120 is a `hidden beast` number, since 14 + 531 + 1 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 97535376 = 6912^2 + 9876^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×145311120² = 42230643191308800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 145311093 and 145311102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100191 + ... + 101630.

Almost surely, 2^145311120 is an apocalyptic number.

145311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145311120 is an abundant number, since it is smaller than the sum of its proper divisors (342694476).

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

145311120 is a wasteful number, since it uses less digits than its factorization.

145311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201840 (or 201831 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 145311120 is about 12054.5062113717. The cubic root of 145311120 is about 525.7342650950.

Adding to 145311120 its reverse (21113541), we get a palindrome (166424661).

It can be divided in two parts, 14531 and 1120, that added together give a palindrome (15651).

The spelling of 145311120 in words is "one hundred forty-five million, three hundred eleven thousand, one hundred twenty".