142072164 has 96 divisors (see below), whose sum is σ = 405296640. Its totient is φ = 42764544.

The previous prime is 142072159. The next prime is 142072169. The reversal of 142072164 is 461270241.

It is an interprime number because it is at equal distance from previous prime (142072159) and next prime (142072169).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (142072169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64912 + ... + 67064.

It is an arithmetic number, because the mean of its divisors is an integer number (4221840).

Almost surely, 2^142072164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142072164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202648320).

142072164 is an abundant number, since it is smaller than the sum of its proper divisors (263224476).

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

142072164 is a wasteful number, since it uses less digits than its factorization.

142072164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 142072164 is about 11919.4028373908. The cubic root of 142072164 is about 521.7987069033.

The spelling of 142072164 in words is "one hundred forty-two million, seventy-two thousand, one hundred sixty-four".