145292544 has 108 divisors (see below), whose sum is σ = 441095200. Its totient is φ = 45868032.

The previous prime is 145292533. The next prime is 145292593. The reversal of 145292544 is 445292541.

It is a happy number.

It is a super-2 number, since 2×145292544² = 42219846683983872, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 145292499 and 145292508.

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, 42117 + ... + 45435.

Almost surely, 2^145292544 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 145292544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220547600).

145292544 is an abundant number, since it is smaller than the sum of its proper divisors (295802656).

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

145292544 is a wasteful number, since it uses less digits than its factorization.

145292544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3343 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 145292544 is about 12053.7356864998. The cubic root of 145292544 is about 525.7118615425.

The spelling of 145292544 in words is "one hundred forty-five million, two hundred ninety-two thousand, five hundred forty-four".