142148714400 has 1440 divisors, whose sum is σ = 667877253120. Its totient is φ = 28553472000.

The previous prime is 142148714371. The next prime is 142148714423. The reversal of 142148714400 is 4417841241.

142148714400 is a `hidden beast` number, since 1 + 4 + 2 + 148 + 71 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 154677141 + ... + 154678059.

It is an arithmetic number, because the mean of its divisors is an integer number (463803648).

Almost surely, 2^142148714400 is an apocalyptic number.

142148714400 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 142148714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333938626560).

142148714400 is an abundant number, since it is smaller than the sum of its proper divisors (525728538720).

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

142148714400 is a wasteful number, since it uses less digits than its factorization.

142148714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 142148714400 in words is "one hundred forty-two billion, one hundred forty-eight million, seven hundred fourteen thousand, four hundred".