2134386378300 has 288 divisors, whose sum is σ = 7267786331904. Its totient is φ = 477800960000.

The previous prime is 2134386378281. The next prime is 2134386378409. The reversal of 2134386378300 is 38736834312.

It is a self number, because there is not a number n which added to its sum of digits gives 2134386378300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2614375 + ... + 3332225.

It is an arithmetic number, because the mean of its divisors is an integer number (25235369208).

Almost surely, 2^{2134386378300} is an apocalyptic number.

2134386378300 is a gapful number since it is divisible by the number (20) 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 2134386378300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633893165952).

2134386378300 is an abundant number, since it is smaller than the sum of its proper divisors (5133399953604).

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

2134386378300 is a wasteful number, since it uses less digits than its factorization.

2134386378300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717949 (or 717942 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 2134386378300 in words is "two trillion, one hundred thirty-four billion, three hundred eighty-six million, three hundred seventy-eight thousand, three hundred".