145390320 has 120 divisors (see below), whose sum is σ = 492865776. Its totient is φ = 38406144.

The previous prime is 145390319. The next prime is 145390363. The reversal of 145390320 is 23093541.

145390320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×145390320² = 42276690299404800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80467 + ... + 82253.

Almost surely, 2^145390320 is an apocalyptic number.

145390320 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 145390320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246432888).

145390320 is an abundant number, since it is smaller than the sum of its proper divisors (347475456).

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

145390320 is a wasteful number, since it uses less digits than its factorization.

145390320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 145390320 is about 12057.7908424388. The cubic root of 145390320 is about 525.8297626988.

The spelling of 145390320 in words is "one hundred forty-five million, three hundred ninety thousand, three hundred twenty".