145063354500 has 576 divisors, whose sum is σ = 496728033984. Its totient is φ = 35507404800.

The previous prime is 145063354421. The next prime is 145063354507. The reversal of 145063354500 is 5453360541.

145063354500 is a `hidden beast` number, since 1 + 4 + 50 + 63 + 3 + 545 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 138401856576 + 6661497924 = 372024^2 + 81618^2 .

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

It is not an unprimeable number, because it can be changed into a prime (145063354507) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 838516414 + ... + 838516586.

It is an arithmetic number, because the mean of its divisors is an integer number (862375059).

Almost surely, 2^145063354500 is an apocalyptic number.

145063354500 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 145063354500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248364016992).

145063354500 is an abundant number, since it is smaller than the sum of its proper divisors (351664679484).

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

145063354500 is a wasteful number, since it uses less digits than its factorization.

145063354500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 145063354500 in words is "one hundred forty-five billion, sixty-three million, three hundred fifty-four thousand, five hundred".