142907328 has 112 divisors (see below), whose sum is σ = 425724320. Its totient is φ = 47589120.

The previous prime is 142907293. The next prime is 142907329. The reversal of 142907328 is 823709241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142907292 and 142907301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142907329) 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, 139458 + ... + 140478.

It is an arithmetic number, because the mean of its divisors is an integer number (3801110).

Almost surely, 2^142907328 is an apocalyptic number.

142907328 is a gapful number since it is divisible by the number (18) 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 142907328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212862160).

142907328 is an abundant number, since it is smaller than the sum of its proper divisors (282816992).

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

142907328 is an frugal number, since it uses more digits than its factorization.

142907328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 142907328 is about 11954.3853041468. The cubic root of 142907328 is about 522.8191656679.

The spelling of 142907328 in words is "one hundred forty-two million, nine hundred seven thousand, three hundred twenty-eight".