142538742720 has 672 divisors, whose sum is σ = 568782549504. Its totient is φ = 32420044800.

The previous prime is 142538742641. The next prime is 142538742751. The reversal of 142538742720 is 27247835241.

142538742720 is a `hidden beast` number, since 1 + 4 + 2 + 538 + 7 + 42 + 72 + 0 = 666.

142538742720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38616075 + ... + 38619765.

Almost surely, 2^142538742720 is an apocalyptic number.

142538742720 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 142538742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284391274752).

142538742720 is an abundant number, since it is smaller than the sum of its proper divisors (426243806784).

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

142538742720 is a wasteful number, since it uses less digits than its factorization.

142538742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 142538742720 in words is "one hundred forty-two billion, five hundred thirty-eight million, seven hundred forty-two thousand, seven hundred twenty".