145383120 has 80 divisors (see below), whose sum is σ = 500771520. Its totient is φ = 38768256.

The previous prime is 145383097. The next prime is 145383131. The reversal of 145383120 is 21383541.

It is a happy number.

145383120 is a `hidden beast` number, since 1 + 4 + 538 + 3 + 120 = 666.

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

It is a super-2 number, since 2×145383120² = 42272503161868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31494 + ... + 35813.

It is an arithmetic number, because the mean of its divisors is an integer number (6259644).

Almost surely, 2^145383120 is an apocalyptic number.

145383120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145383120 is an abundant number, since it is smaller than the sum of its proper divisors (355388400).

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

145383120 is a wasteful number, since it uses less digits than its factorization.

145383120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67329 (or 67317 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 145383120 is about 12057.4922765889. The cubic root of 145383120 is about 525.8210825317.

The spelling of 145383120 in words is "one hundred forty-five million, three hundred eighty-three thousand, one hundred twenty".