142401960 has 192 divisors, whose sum is σ = 494208000. Its totient is φ = 35458560.

The previous prime is 142401953. The next prime is 142401967. The reversal of 142401960 is 69104241.

It is an interprime number because it is at equal distance from previous prime (142401953) and next prime (142401967).

It is not an unprimeable number, because it can be changed into a prime (142401967) 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 47 ways as a sum of consecutive naturals, for example, 745465 + ... + 745655.

It is an arithmetic number, because the mean of its divisors is an integer number (2574000).

Almost surely, 2^142401960 is an apocalyptic number.

142401960 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 142401960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247104000).

142401960 is an abundant number, since it is smaller than the sum of its proper divisors (351806040).

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

142401960 is a wasteful number, since it uses less digits than its factorization.

142401960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 142401960 is about 11933.2292360450. The cubic root of 142401960 is about 522.2021500928.

The spelling of 142401960 in words is "one hundred forty-two million, four hundred one thousand, nine hundred sixty".