2135868134400 has 3960 divisors, whose sum is σ = 10869343421664. Its totient is φ = 409677004800.

The previous prime is 2135868134377. The next prime is 2135868134417. The reversal of 2135868134400 is 44318685312.

2135868134400 is a `hidden beast` number, since 2 + 1 + 3 + 58 + 68 + 134 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 359 ways as a sum of consecutive naturals, for example, 164297548794 + ... + 164297548806.

Almost surely, 2^{2135868134400} is an apocalyptic number.

2135868134400 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 2135868134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434671710832).

2135868134400 is an abundant number, since it is smaller than the sum of its proper divisors (8733475287264).

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

2135868134400 is an equidigital number, since it uses as much as digits as its factorization.

2135868134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2135868134400 in words is "two trillion, one hundred thirty-five billion, eight hundred sixty-eight million, one hundred thirty-four thousand, four hundred".