142916160 has 112 divisors (see below), whose sum is σ = 464954112. Its totient is φ = 37171200.

The previous prime is 142916141. The next prime is 142916167. The reversal of 142916160 is 61619241.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142916167) 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, 37545 + ... + 41175.

It is an arithmetic number, because the mean of its divisors is an integer number (4151376).

Almost surely, 2^142916160 is an apocalyptic number.

142916160 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 142916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232477056).

142916160 is an abundant number, since it is smaller than the sum of its proper divisors (322037952).

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

142916160 is a wasteful number, since it uses less digits than its factorization.

142916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 142916160 is about 11954.7547026277. The cubic root of 142916160 is about 522.8299359198.

The spelling of 142916160 in words is "one hundred forty-two million, nine hundred sixteen thousand, one hundred sixty".