7142511148500 has 384 divisors, whose sum is σ = 25662793927680. Its totient is φ = 1503221760000.

The previous prime is 7142511148499. The next prime is 7142511148579. The reversal of 7142511148500 is 58411152417.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54671256 + ... + 54801744.

It is an arithmetic number, because the mean of its divisors is an integer number (66830192520).

Almost surely, 2^{7142511148500} is an apocalyptic number.

7142511148500 is a gapful number since it is divisible by the number (70) 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 7142511148500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12831396963840).

7142511148500 is an abundant number, since it is smaller than the sum of its proper divisors (18520282779180).

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

7142511148500 is a wasteful number, since it uses less digits than its factorization.

7142511148500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130932 (or 130920 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 39.

The spelling of 7142511148500 in words is "seven trillion, one hundred forty-two billion, five hundred eleven million, one hundred forty-eight thousand, five hundred".