2136955392000 has 3328 divisors, whose sum is σ = 9891981066240. Its totient is φ = 447676416000.

The previous prime is 2136955391971. The next prime is 2136955392041. The reversal of 2136955392000 is 2935596312.

2136955392000 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 9 + 553 + 92 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

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

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 255 ways as a sum of consecutive naturals, for example, 45467135977 + ... + 45467136023.

It is an arithmetic number, because the mean of its divisors is an integer number (2972350080).

Almost surely, 2^{2136955392000} is an apocalyptic number.

2136955392000 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 2136955392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945990533120).

2136955392000 is an abundant number, since it is smaller than the sum of its proper divisors (7755025674240).

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

2136955392000 is a wasteful number, since it uses less digits than its factorization.

2136955392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 2136955392000 in words is "two trillion, one hundred thirty-six billion, nine hundred fifty-five million, three hundred ninety-two thousand".