142296960 has 128 divisors (see below), whose sum is σ = 488547360. Its totient is φ = 35020800.

The previous prime is 142296911. The next prime is 142296961. The reversal of 142296960 is 69692241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142296961) 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, 22110 + ... + 27810.

Almost surely, 2^142296960 is an apocalyptic number.

142296960 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 142296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244273680).

142296960 is an abundant number, since it is smaller than the sum of its proper divisors (346250400).

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

142296960 is a wasteful number, since it uses less digits than its factorization.

142296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5736 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 142296960 is about 11928.8289450390. The cubic root of 142296960 is about 522.0737700530.

The spelling of 142296960 in words is "one hundred forty-two million, two hundred ninety-six thousand, nine hundred sixty".