1034195024136 has 128 divisors (see below), whose sum is σ = 2688653088000. Its totient is φ = 331104549888.

The previous prime is 1034195024111. The next prime is 1034195024201. The reversal of 1034195024136 is 6314205914301.

It is a junction number, because it is equal to n+sod(n) for n = 1034195024094 and 1034195024103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141492450 + ... + 141499758.

It is an arithmetic number, because the mean of its divisors is an integer number (21005102250).

Almost surely, 2^{1034195024136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034195024136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344326544000).

1034195024136 is an abundant number, since it is smaller than the sum of its proper divisors (1654458063864).

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

1034195024136 is a wasteful number, since it uses less digits than its factorization.

1034195024136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8383 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 1034195024136 in words is "one trillion, thirty-four billion, one hundred ninety-five million, twenty-four thousand, one hundred thirty-six".