2151038519136 has 144 divisors (see below), whose sum is σ = 6588689234400. Its totient is φ = 661744097280.

The previous prime is 2151038519129. The next prime is 2151038519153. The reversal of 2151038519136 is 6319158301512.

2151038519136 is a `hidden beast` number, since 2 + 1 + 51 + 0 + 385 + 191 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×2151038519136³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2151038519091 and 2151038519100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23162716 + ... + 23255396.

It is an arithmetic number, because the mean of its divisors is an integer number (45754786350).

Almost surely, 2^{2151038519136} is an apocalyptic number.

2151038519136 is a gapful number since it is divisible by the number (26) 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 2151038519136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294344617200).

2151038519136 is an abundant number, since it is smaller than the sum of its proper divisors (4437650715264).

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

2151038519136 is a wasteful number, since it uses less digits than its factorization.

2151038519136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98909 (or 98898 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 2151038519136 in words is "two trillion, one hundred fifty-one billion, thirty-eight million, five hundred nineteen thousand, one hundred thirty-six".