142972000 has 96 divisors (see below), whose sum is σ = 362928384. Its totient is φ = 55296000.

The previous prime is 142971991. The next prime is 142972069. The reversal of 142972000 is 279241.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123424 + ... + 124576.

It is an arithmetic number, because the mean of its divisors is an integer number (3780504).

Almost surely, 2^142972000 is an apocalyptic number.

142972000 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 142972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181464192).

142972000 is an abundant number, since it is smaller than the sum of its proper divisors (219956384).

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

142972000 is a wasteful number, since it uses less digits than its factorization.

142972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 142972000 is about 11957.0899469729. The cubic root of 142972000 is about 522.8980201778.

The spelling of 142972000 in words is "one hundred forty-two million, nine hundred seventy-two thousand".