142766400 has 252 divisors, whose sum is σ = 545762688. Its totient is φ = 32578560.

The previous prime is 142766389. The next prime is 142766417. The reversal of 142766400 is 4667241.

142766400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234897 + ... + 235503.

Almost surely, 2^142766400 is an apocalyptic number.

142766400 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 142766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272881344).

142766400 is an abundant number, since it is smaller than the sum of its proper divisors (402996288).

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

142766400 is a wasteful number, since it uses less digits than its factorization.

142766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 142766400 is about 11948.4894442770. The cubic root of 142766400 is about 522.6472498456.

The spelling of 142766400 in words is "one hundred forty-two million, seven hundred sixty-six thousand, four hundred".