142188816 has 320 divisors, whose sum is σ = 507396096. Its totient is φ = 33177600.

The previous prime is 142188811. The next prime is 142188881. The reversal of 142188816 is 618881241.

142188816 is a nontrivial binomial coefficient, being equal to C(16864, 2).

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

It is not an unprimeable number, because it can be changed into a prime (142188811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1947756 + ... + 1947828.

Almost surely, 2^142188816 is an apocalyptic number.

142188816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

142188816 is the 16863-rd triangular number and also the 8432-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142188816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253698048).

142188816 is an abundant number, since it is smaller than the sum of its proper divisors (365207280).

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

142188816 is a wasteful number, since it uses less digits than its factorization.

142188816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its digits is 24576, while the sum is 39.

The square root of 142188816 is about 11924.2951992979. The cubic root of 142188816 is about 521.9414799123.

The spelling of 142188816 in words is "one hundred forty-two million, one hundred eighty-eight thousand, eight hundred sixteen".