142907520 has 320 divisors, whose sum is σ = 548547840. Its totient is φ = 31610880.

The previous prime is 142907497. The next prime is 142907561. The reversal of 142907520 is 25709241.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4609905 + ... + 4609935.

It is an arithmetic number, because the mean of its divisors is an integer number (1714212).

Almost surely, 2^142907520 is an apocalyptic number.

142907520 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 142907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274273920).

142907520 is an abundant number, since it is smaller than the sum of its proper divisors (405640320).

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

142907520 is an frugal number, since it uses more digits than its factorization.

142907520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 142907520 is about 11954.3933346699. The cubic root of 142907520 is about 522.8193998086.

The spelling of 142907520 in words is "one hundred forty-two million, nine hundred seven thousand, five hundred twenty".