142121402139600 has 1680 divisors, whose sum is σ = 593655694228800. Its totient is φ = 32366931886080.

The previous prime is 142121402139559. The next prime is 142121402139709. The reversal of 142121402139600 is 6931204121241.

142121402139600 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 2 + 1 + 40 + 2 + 1 + 3 + 9 + 600 = 666.

It is a super-2 number, since 2×142121402139600² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3802153711 + ... + 3802191089.

It is an arithmetic number, because the mean of its divisors is an integer number (353366484660).

Almost surely, 2^{142121402139600} is an apocalyptic number.

142121402139600 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 142121402139600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296827847114400).

142121402139600 is an abundant number, since it is smaller than the sum of its proper divisors (451534292089200).

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

142121402139600 is a wasteful number, since it uses less digits than its factorization.

142121402139600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37504 (or 37478 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 142121402139600 in words is "one hundred forty-two trillion, one hundred twenty-one billion, four hundred two million, one hundred thirty-nine thousand, six hundred".