142914681000 has 1152 divisors, whose sum is σ = 618500413440. Its totient is φ = 29113344000.

The previous prime is 142914680999. The next prime is 142914681053. The reversal of 142914681000 is 186419241.

142914681000 is a `hidden beast` number, since 1 + 4 + 2 + 91 + 468 + 100 + 0 = 666.

It is a super-4 number, since 4×142914681000⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 330056784 + ... + 330057216.

It is an arithmetic number, because the mean of its divisors is an integer number (536892720).

Almost surely, 2^142914681000 is an apocalyptic number.

142914681000 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 142914681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309250206720).

142914681000 is an abundant number, since it is smaller than the sum of its proper divisors (475585732440).

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

142914681000 is a wasteful number, since it uses less digits than its factorization.

142914681000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 142914681000 in words is "one hundred forty-two billion, nine hundred fourteen million, six hundred eighty-one thousand".