142704156672 has 1344 divisors, whose sum is σ = 572487552000. Its totient is φ = 35115171840.

The previous prime is 142704156671. The next prime is 142704156677. The reversal of 142704156672 is 276651407241.

142704156672 is a `hidden beast` number, since 1 + 42 + 7 + 0 + 41 + 566 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (142704156671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7510745079 + ... + 7510745097.

It is an arithmetic number, because the mean of its divisors is an integer number (425958000).

Almost surely, 2^142704156672 is an apocalyptic number.

142704156672 is a gapful number since it is divisible by the number (12) 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 142704156672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286243776000).

142704156672 is an abundant number, since it is smaller than the sum of its proper divisors (429783395328).

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

142704156672 is an frugal number, since it uses more digits than its factorization.

142704156672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 142704156672 in words is "one hundred forty-two billion, seven hundred four million, one hundred fifty-six thousand, six hundred seventy-two".