142264416 has 96 divisors (see below), whose sum is σ = 428924160. Its totient is φ = 40444416.

The previous prime is 142264403. The next prime is 142264433. The reversal of 142264416 is 614462241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 180375 + ... + 181161.

It is an arithmetic number, because the mean of its divisors is an integer number (4467960).

Almost surely, 2^142264416 is an apocalyptic number.

142264416 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 142264416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214462080).

142264416 is an abundant number, since it is smaller than the sum of its proper divisors (286659744).

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

142264416 is a wasteful number, since it uses less digits than its factorization.

142264416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1068 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 142264416 is about 11927.4647767243. The cubic root of 142264416 is about 522.0339667567.

The spelling of 142264416 in words is "one hundred forty-two million, two hundred sixty-four thousand, four hundred sixteen".