142187136 has 192 divisors, whose sum is σ = 468889920. Its totient is φ = 37380096.

The previous prime is 142187119. The next prime is 142187141. The reversal of 142187136 is 631781241.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 142187097 and 142187106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454116 + ... + 454428.

It is an arithmetic number, because the mean of its divisors is an integer number (2442135).

Almost surely, 2^142187136 is an apocalyptic number.

142187136 is a gapful number since it is divisible by the number (16) 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 142187136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234444960).

142187136 is an abundant number, since it is smaller than the sum of its proper divisors (326702784).

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

142187136 is a wasteful number, since it uses less digits than its factorization.

142187136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 338 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 142187136 is about 11924.2247546748. The cubic root of 142187136 is about 521.9394242768.

The spelling of 142187136 in words is "one hundred forty-two million, one hundred eighty-seven thousand, one hundred thirty-six".