145083120 has 360 divisors, whose sum is σ = 574289136. Its totient is φ = 30191616.

The previous prime is 145083097. The next prime is 145083173. The reversal of 145083120 is 21380541.

It is a super-2 number, since 2×145083120² = 42098223417868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 71 ways as a sum of consecutive naturals, for example, 1987404 + ... + 1987476.

Almost surely, 2^145083120 is an apocalyptic number.

145083120 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 145083120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287144568).

145083120 is an abundant number, since it is smaller than the sum of its proper divisors (429206016).

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

145083120 is a wasteful number, since it uses less digits than its factorization.

145083120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 145083120 is about 12045.0454544597. The cubic root of 145083120 is about 525.4591538722.

The spelling of 145083120 in words is "one hundred forty-five million, eighty-three thousand, one hundred twenty".