142372944 has 240 divisors, whose sum is σ = 493718400. Its totient is φ = 38472192.

The previous prime is 142372939. The next prime is 142373009. The reversal of 142372944 is 449273241.

142372944 = T₁₇₄₄ + T₁₇₄₅ + ... + T₁₈₃₂.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 142372899 and 142372908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599652 + ... + 1599740.

It is an arithmetic number, because the mean of its divisors is an integer number (2057160).

Almost surely, 2^142372944 is an apocalyptic number.

142372944 is a gapful number since it is divisible by the number (14) 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 142372944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246859200).

142372944 is an abundant number, since it is smaller than the sum of its proper divisors (351345456).

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

142372944 is a wasteful number, since it uses less digits than its factorization.

142372944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 124 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 142372944 is about 11932.0134093119. The cubic root of 142372944 is about 522.1666794976.

The spelling of 142372944 in words is "one hundred forty-two million, three hundred seventy-two thousand, nine hundred forty-four".