142126555672800 has 576 divisors, whose sum is σ = 517928460456960. Its totient is φ = 37612720189440.

The previous prime is 142126555672789. The next prime is 142126555672813. The reversal of 142126555672800 is 8276555621241.

142126555672800 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 2 + 6 + 5 + 556 + 7 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16994681419 + ... + 16994689781.

It is an arithmetic number, because the mean of its divisors is an integer number (899181354960).

Almost surely, 2^{142126555672800} is an apocalyptic number.

142126555672800 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 142126555672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258964230228480).

142126555672800 is an abundant number, since it is smaller than the sum of its proper divisors (375801904784160).

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

142126555672800 is a wasteful number, since it uses less digits than its factorization.

142126555672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14272 (or 14253 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 142126555672800 in words is "one hundred forty-two trillion, one hundred twenty-six billion, five hundred fifty-five million, six hundred seventy-two thousand, eight hundred".