142592640 has 128 divisors (see below), whose sum is σ = 474422400. Its totient is φ = 36360192.

The previous prime is 142592621. The next prime is 142592641. The reversal of 142592640 is 46295241.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (142592641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42546 + ... + 45774.

It is an arithmetic number, because the mean of its divisors is an integer number (3706425).

Almost surely, 2^142592640 is an apocalyptic number.

142592640 is a gapful number since it is divisible by the number (10) 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 142592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237211200).

142592640 is an abundant number, since it is smaller than the sum of its proper divisors (331829760).

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

142592640 is a wasteful number, since it uses less digits than its factorization.

142592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 142592640 is about 11941.2160184799. The cubic root of 142592640 is about 522.4351269778.

The spelling of 142592640 in words is "one hundred forty-two million, five hundred ninety-two thousand, six hundred forty".