142945634160 has 240 divisors, whose sum is σ = 559836638400. Its totient is φ = 32673231360.

The previous prime is 142945634141. The next prime is 142945634191. The reversal of 142945634160 is 61436549241.

142945634160 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 4 + 5 + 634 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42451 + ... + 536370.

It is an arithmetic number, because the mean of its divisors is an integer number (2332652660).

Almost surely, 2^142945634160 is an apocalyptic number.

142945634160 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 142945634160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279918319200).

142945634160 is an abundant number, since it is smaller than the sum of its proper divisors (416891004240).

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

142945634160 is a wasteful number, since it uses less digits than its factorization.

142945634160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578861 (or 578838 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 142945634160 in words is "one hundred forty-two billion, nine hundred forty-five million, six hundred thirty-four thousand, one hundred sixty".