2135751700192 has 96 divisors (see below), whose sum is σ = 4743909918720. Its totient is φ = 938113313280.

The previous prime is 2135751700189. The next prime is 2135751700193. The reversal of 2135751700192 is 2910071575312.

It is a super-2 number, since 2×2135751700192² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135751700193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489918 + ... + 2124034.

It is an arithmetic number, because the mean of its divisors is an integer number (49415728320).

Almost surely, 2^{2135751700192} is an apocalyptic number.

2135751700192 is a gapful number since it is divisible by the number (22) 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 2135751700192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371954959360).

2135751700192 is an abundant number, since it is smaller than the sum of its proper divisors (2608158218528).

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

2135751700192 is a wasteful number, since it uses less digits than its factorization.

2135751700192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634264 (or 1634256 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 43.

The spelling of 2135751700192 in words is "two trillion, one hundred thirty-five billion, seven hundred fifty-one million, seven hundred thousand, one hundred ninety-two".