142572960 has 288 divisors, whose sum is σ = 533856960. Its totient is φ = 35831808.

The previous prime is 142572943. The next prime is 142572967. The reversal of 142572960 is 69275241.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142572967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738624 + ... + 738816.

It is an arithmetic number, because the mean of its divisors is an integer number (1853670).

Almost surely, 2^142572960 is an apocalyptic number.

142572960 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 142572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266928480).

142572960 is an abundant number, since it is smaller than the sum of its proper divisors (391284000).

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

142572960 is a wasteful number, since it uses less digits than its factorization.

142572960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 142572960 is about 11940.3919533657. The cubic root of 142572960 is about 522.4110911502.

The spelling of 142572960 in words is "one hundred forty-two million, five hundred seventy-two thousand, nine hundred sixty".