142985040 has 160 divisors (see below), whose sum is σ = 495718272. Its totient is φ = 33792000.

The previous prime is 142985039. The next prime is 142985041. The reversal of 142985040 is 40589241.

It is an interprime number because it is at equal distance from previous prime (142985039) and next prime (142985041).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 142984992 and 142985010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142985041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 107580 + ... + 108900.

Almost surely, 2^142985040 is an apocalyptic number.

142985040 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 142985040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247859136).

142985040 is an abundant number, since it is smaller than the sum of its proper divisors (352733232).

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

142985040 is a wasteful number, since it uses less digits than its factorization.

142985040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 142985040 is about 11957.6352177176. The cubic root of 142985040 is about 522.9139169569.

The spelling of 142985040 in words is "one hundred forty-two million, nine hundred eighty-five thousand, forty".