1921055136 has 192 divisors, whose sum is σ = 6771050496. Its totient is φ = 460569600.

The previous prime is 1921055107. The next prime is 1921055137. The reversal of 1921055136 is 6315501291.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1921055097 and 1921055106.

It is not an unprimeable number, because it can be changed into a prime (1921055137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86101 + ... + 106091.

It is an arithmetic number, because the mean of its divisors is an integer number (35265888).

Almost surely, 2^1921055136 is an apocalyptic number.

1921055136 is a gapful number since it is divisible by the number (16) 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 1921055136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385525248).

1921055136 is an abundant number, since it is smaller than the sum of its proper divisors (4849995360).

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

1921055136 is a wasteful number, since it uses less digits than its factorization.

1921055136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20035 (or 20027 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 1921055136 is about 43829.8429839761. The cubic root of 1921055136 is about 1243.1206379707.

The spelling of 1921055136 in words is "one billion, nine hundred twenty-one million, fifty-five thousand, one hundred thirty-six".