145290384 has 60 divisors (see below), whose sum is σ = 414304956. Its totient is φ = 47513856.

The previous prime is 145290373. The next prime is 145290403. The reversal of 145290384 is 483092541.

It can be written as a sum of positive squares in 2 ways, for example, as 38787984 + 106502400 = 6228^2 + 10320^2 .

It is a super-2 number, since 2×145290384² = 42218591365734912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1887 + ... + 17150.

Almost surely, 2^145290384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145290384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207152478).

145290384 is an abundant number, since it is smaller than the sum of its proper divisors (269014572).

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

145290384 is a wasteful number, since it uses less digits than its factorization.

145290384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19104 (or 19095 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 145290384 is about 12053.6460873878. The cubic root of 145290384 is about 525.7092563544.

The spelling of 145290384 in words is "one hundred forty-five million, two hundred ninety thousand, three hundred eighty-four".