142214688 has 288 divisors, whose sum is σ = 517974912. Its totient is φ = 36241920.

The previous prime is 142214687. The next prime is 142214747. The reversal of 142214688 is 886412241.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142214687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2683270 + ... + 2683322.

It is an arithmetic number, because the mean of its divisors is an integer number (1798524).

Almost surely, 2^142214688 is an apocalyptic number.

142214688 is a gapful number since it is divisible by the number (18) 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 142214688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258987456).

142214688 is an abundant number, since it is smaller than the sum of its proper divisors (375760224).

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

142214688 is a wasteful number, since it uses less digits than its factorization.

142214688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 76 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 142214688 is about 11925.3799939457. The cubic root of 142214688 is about 521.9731346547.

It can be divided in two parts, 1422 and 14688, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 142214688 in words is "one hundred forty-two million, two hundred fourteen thousand, six hundred eighty-eight".