145461120 has 256 divisors, whose sum is σ = 540518400. Its totient is φ = 32587776.

The previous prime is 145461089. The next prime is 145461133. The reversal of 145461120 is 21164541.

It is a happy number.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061692 + ... + 1061828.

It is an arithmetic number, because the mean of its divisors is an integer number (2111400).

Almost surely, 2^145461120 is an apocalyptic number.

145461120 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 145461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270259200).

145461120 is an abundant number, since it is smaller than the sum of its proper divisors (395057280).

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

145461120 is a wasteful number, since it uses less digits than its factorization.

145461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

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

The square root of 145461120 is about 12060.7263462861. The cubic root of 145461120 is about 525.9151024146.

The spelling of 145461120 in words is "one hundred forty-five million, four hundred sixty-one thousand, one hundred twenty".