145349993250 has 384 divisors, whose sum is σ = 493108881408. Its totient is φ = 30011472000.

The previous prime is 145349993237. The next prime is 145349993263. The reversal of 145349993250 is 52399943541.

145349993250 is a `hidden beast` number, since 1 + 45 + 3 + 499 + 93 + 25 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145349993237) and next prime (145349993263).

It is a super-2 number, since 2×145349993250² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28237177 + ... + 28242323.

It is an arithmetic number, because the mean of its divisors is an integer number (1284137712).

Almost surely, 2^145349993250 is an apocalyptic number.

145349993250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145349993250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246554440704).

145349993250 is an abundant number, since it is smaller than the sum of its proper divisors (347758888158).

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

145349993250 is a wasteful number, since it uses less digits than its factorization.

145349993250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5351 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 145349993250 in words is "one hundred forty-five billion, three hundred forty-nine million, nine hundred ninety-three thousand, two hundred fifty".