142304064 has 112 divisors (see below), whose sum is σ = 434571648. Its totient is φ = 40255488.

The previous prime is 142304039. The next prime is 142304069. The reversal of 142304064 is 460403241.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142304069) 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, 151404 + ... + 152340.

It is an arithmetic number, because the mean of its divisors is an integer number (3880104).

Almost surely, 2^142304064 is an apocalyptic number.

142304064 is a gapful number since it is divisible by the number (14) 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 142304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217285824).

142304064 is an abundant number, since it is smaller than the sum of its proper divisors (292267584).

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

142304064 is a wasteful number, since it uses less digits than its factorization.

142304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 142304064 is about 11929.1267073495. The cubic root of 142304064 is about 522.0824578712.

The spelling of 142304064 in words is "one hundred forty-two million, three hundred four thousand, sixty-four".