142137072 has 160 divisors (see below), whose sum is σ = 508776960. Its totient is φ = 36910080.

The previous prime is 142137067. The next prime is 142137097. The reversal of 142137072 is 270731241.

It is a happy number.

142137072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31128 + ... + 35400.

It is an arithmetic number, because the mean of its divisors is an integer number (3179856).

Almost surely, 2^142137072 is an apocalyptic number.

142137072 is a gapful number since it is divisible by the number (12) 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 142137072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254388480).

142137072 is an abundant number, since it is smaller than the sum of its proper divisors (366639888).

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

142137072 is a wasteful number, since it uses less digits than its factorization.

142137072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 142137072 is about 11922.1253138859. The cubic root of 142137072 is about 521.8781589061.

The spelling of 142137072 in words is "one hundred forty-two million, one hundred thirty-seven thousand, seventy-two".