1815136128 has 288 divisors, whose sum is σ = 5921730360. Its totient is φ = 550167552.

The previous prime is 1815136111. The next prime is 1815136157. The reversal of 1815136128 is 8216315181.

1815136128 is a `hidden beast` number, since 1 + 81 + 513 + 61 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1815136092 and 1815136101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27091551 + ... + 27091617.

Almost surely, 2^1815136128 is an apocalyptic number.

1815136128 is a gapful number since it is divisible by the number (18) 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 1815136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960865180).

1815136128 is an abundant number, since it is smaller than the sum of its proper divisors (4106594232).

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

1815136128 is an frugal number, since it uses more digits than its factorization.

1815136128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 85 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 1815136128 is about 42604.4144191655. The cubic root of 1815136128 is about 1219.8405524845.

The spelling of 1815136128 in words is "one billion, eight hundred fifteen million, one hundred thirty-six thousand, one hundred twenty-eight".