142730864640 has 1920 divisors, whose sum is σ = 660617717760. Its totient is φ = 28665446400.

The previous prime is 142730864603. The next prime is 142730864659. The reversal of 142730864640 is 46468037241.

142730864640 is a `hidden beast` number, since 1 + 42 + 73 + 0 + 86 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2339850210 + ... + 2339850270.

It is an arithmetic number, because the mean of its divisors is an integer number (344071728).

Almost surely, 2^142730864640 is an apocalyptic number.

142730864640 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 142730864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330308858880).

142730864640 is an abundant number, since it is smaller than the sum of its proper divisors (517886853120).

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

142730864640 is a wasteful number, since it uses less digits than its factorization.

142730864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 142730864640 in words is "one hundred forty-two billion, seven hundred thirty million, eight hundred sixty-four thousand, six hundred forty".