142554400 has 72 divisors (see below), whose sum is σ = 352922724. Its totient is φ = 56217600.

The previous prime is 142554383. The next prime is 142554403. The reversal of 142554400 is 4455241.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 26173456 + 116380944 = 5116^2 + 10788^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142554403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57180 + ... + 59620.

Almost surely, 2^142554400 is an apocalyptic number.

142554400 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 142554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176461362).

142554400 is an abundant number, since it is smaller than the sum of its proper divisors (210368324).

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

142554400 is a wasteful number, since it uses less digits than its factorization.

142554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 142554400 is about 11939.6147341529. The cubic root of 142554400 is about 522.3884211885.

The spelling of 142554400 in words is "one hundred forty-two million, five hundred fifty-four thousand, four hundred".