142780320 has 240 divisors, whose sum is σ = 526901760. Its totient is φ = 36343296.

The previous prime is 142780301. The next prime is 142780349. The reversal of 142780320 is 23087241.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 297841 + ... + 298319.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2^142780320 is an apocalyptic number.

142780320 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 142780320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880).

142780320 is an abundant number, since it is smaller than the sum of its proper divisors (384121440).

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

142780320 is a wasteful number, since it uses less digits than its factorization.

142780320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 142780320 is about 11949.0719304890. The cubic root of 142780320 is about 522.6642356660.

The spelling of 142780320 in words is "one hundred forty-two million, seven hundred eighty thousand, three hundred twenty".