145263319040 has 768 divisors, whose sum is σ = 452421365760. Its totient is φ = 43599790080.

The previous prime is 145263319031. The next prime is 145263319049. The reversal of 145263319040 is 40913362541.

It is an interprime number because it is at equal distance from previous prime (145263319031) and next prime (145263319049).

It is a super-2 number, since 2×145263319040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145263318985 and 145263319003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145263319049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1989908444 + ... + 1989908516.

It is an arithmetic number, because the mean of its divisors is an integer number (589090320).

Almost surely, 2^145263319040 is an apocalyptic number.

145263319040 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 145263319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226210682880).

145263319040 is an abundant number, since it is smaller than the sum of its proper divisors (307158046720).

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

145263319040 is a wasteful number, since it uses less digits than its factorization.

145263319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 145263319040 in words is "one hundred forty-five billion, two hundred sixty-three million, three hundred nineteen thousand, forty".