145200142500 has 240 divisors, whose sum is σ = 495105515520. Its totient is φ = 32416272000.

The previous prime is 145200142499. The next prime is 145200142511. The reversal of 145200142500 is 5241002541.

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 79 ways as a sum of consecutive naturals, for example, 2225341 + ... + 2289659.

It is an arithmetic number, because the mean of its divisors is an integer number (2062939648).

Almost surely, 2^145200142500 is an apocalyptic number.

145200142500 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 145200142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247552757760).

145200142500 is an abundant number, since it is smaller than the sum of its proper divisors (349905373020).

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

145200142500 is a wasteful number, since it uses less digits than its factorization.

145200142500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64396 (or 64379 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 145200142500 in words is "one hundred forty-five billion, two hundred million, one hundred forty-two thousand, five hundred".