142154400 has 144 divisors (see below), whose sum is σ = 470782368. Its totient is φ = 37248000.

The previous prime is 142154399. The next prime is 142154401. The reversal of 142154400 is 4451241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (142154399) and next prime (142154401).

It is not an unprimeable number, because it can be changed into a prime (142154401) 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 23 ways as a sum of consecutive naturals, for example, 145915 + ... + 146885.

It is an arithmetic number, because the mean of its divisors is an integer number (3269322).

Almost surely, 2^142154400 is an apocalyptic number.

142154400 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 142154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235391184).

142154400 is an abundant number, since it is smaller than the sum of its proper divisors (328627968).

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

142154400 is a wasteful number, since it uses less digits than its factorization.

142154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 142154400 is about 11922.8520078042. The cubic root of 142154400 is about 521.8993655183.

The spelling of 142154400 in words is "one hundred forty-two million, one hundred fifty-four thousand, four hundred".