142776000 has 224 divisors, whose sum is σ = 524621760. Its totient is φ = 38016000.

The previous prime is 142775999. The next prime is 142776031. The reversal of 142776000 is 677241.

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

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, 215670 + ... + 216330.

Almost surely, 2^142776000 is an apocalyptic number.

142776000 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 142776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262310880).

142776000 is an abundant number, since it is smaller than the sum of its proper divisors (381845760).

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

142776000 is an equidigital number, since it uses as much as digits as its factorization.

142776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 671 counting only the distinct ones).

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

The square root of 142776000 is about 11948.8911619447. The cubic root of 142776000 is about 522.6589643226.

The spelling of 142776000 in words is "one hundred forty-two million, seven hundred seventy-six thousand".