142138368 has 176 divisors, whose sum is σ = 433308960. Its totient is φ = 46006272.

The previous prime is 142138361. The next prime is 142138369. The reversal of 142138368 is 863831241.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142138361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1465296 + ... + 1465392.

Almost surely, 2^142138368 is an apocalyptic number.

142138368 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 142138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216654480).

142138368 is an abundant number, since it is smaller than the sum of its proper divisors (291170592).

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

142138368 is an equidigital number, since it uses as much as digits as its factorization.

142138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 142138368 is about 11922.1796664872. The cubic root of 142138368 is about 521.8797450559.

The spelling of 142138368 in words is "one hundred forty-two million, one hundred thirty-eight thousand, three hundred sixty-eight".