142560000 has 450 divisors, whose sum is σ = 579480132. Its totient is φ = 34560000.

The previous prime is 142559999. The next prime is 142560073. The reversal of 142560000 is 65241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 12959995 + ... + 12960005.

Almost surely, 2^142560000 is an apocalyptic number.

142560000 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 142560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289740066).

142560000 is an abundant number, since it is smaller than the sum of its proper divisors (436920132).

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

142560000 is an frugal number, since it uses more digits than its factorization.

142560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 142560000 is about 11939.8492452794. The cubic root of 142560000 is about 522.3952614704.

It can be divided in two parts, 1425 and 60000, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 142560000 in words is "one hundred forty-two million, five hundred sixty thousand".