142988400 has 90 divisors (see below), whose sum is σ = 496221960. Its totient is φ = 38129280.

The previous prime is 142988353. The next prime is 142988413. The reversal of 142988400 is 4889241.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 16260 + ... + 23459.

Almost surely, 2^142988400 is an apocalyptic number.

142988400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142988400 is an abundant number, since it is smaller than the sum of its proper divisors (353233560).

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

142988400 is a wasteful number, since it uses less digits than its factorization.

142988400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39743 (or 39729 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 142988400 is about 11957.7757128991. The cubic root of 142988400 is about 522.9180129029.

The spelling of 142988400 in words is "one hundred forty-two million, nine hundred eighty-eight thousand, four hundred".