2135101731840 has 4928 divisors, whose sum is σ = 11134590013440. Its totient is φ = 378383892480.

The previous prime is 2135101731799. The next prime is 2135101731883. The reversal of 2135101731840 is 481371015312.

2135101731840 is a `hidden beast` number, since 21 + 3 + 510 + 1 + 73 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4928).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2135101731795 and 2135101731804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 92830510069 + ... + 92830510091.

Almost surely, 2^{2135101731840} is an apocalyptic number.

2135101731840 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 2135101731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567295006720).

2135101731840 is an abundant number, since it is smaller than the sum of its proper divisors (8999488281600).

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

2135101731840 is a wasteful number, since it uses less digits than its factorization.

2135101731840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 2135101731840 in words is "two trillion, one hundred thirty-five billion, one hundred one million, seven hundred thirty-one thousand, eight hundred forty".