142749600 has 288 divisors, whose sum is σ = 551214720. Its totient is φ = 31395840.

The previous prime is 142749587. The next prime is 142749601. The reversal of 142749600 is 6947241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (142749601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487054 + ... + 487346.

It is an arithmetic number, because the mean of its divisors is an integer number (1913940).

Almost surely, 2^142749600 is an apocalyptic number.

142749600 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 142749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275607360).

142749600 is an abundant number, since it is smaller than the sum of its proper divisors (408465120).

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

142749600 is a wasteful number, since it uses less digits than its factorization.

142749600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 142749600 is about 11947.7864058578. The cubic root of 142749600 is about 522.6267482471.

The spelling of 142749600 in words is "one hundred forty-two million, seven hundred forty-nine thousand, six hundred".