142140672 has 216 divisors, whose sum is σ = 459164160. Its totient is φ = 42024960.

The previous prime is 142140659. The next prime is 142140683. The reversal of 142140672 is 276041241.

It is a super-3 number, since 3×142140672³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 744097 + ... + 744287.

It is an arithmetic number, because the mean of its divisors is an integer number (2125760).

Almost surely, 2^142140672 is an apocalyptic number.

142140672 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 142140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229582080).

142140672 is an abundant number, since it is smaller than the sum of its proper divisors (317023488).

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

142140672 is a wasteful number, since it uses less digits than its factorization.

142140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 142140672 is about 11922.2762927220. The cubic root of 142140672 is about 521.8825648538.

The spelling of 142140672 in words is "one hundred forty-two million, one hundred forty thousand, six hundred seventy-two".