1010134937952 has 144 divisors (see below), whose sum is σ = 3287385803520. Its totient is φ = 288219015936.

The previous prime is 1010134937947. The next prime is 1010134937971. The reversal of 1010134937952 is 2597394310101.

1010134937952 is a `hidden beast` number, since 1 + 0 + 101 + 3 + 493 + 7 + 9 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1010134937898 and 1010134937907.

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, 1150813 + ... + 1828835.

It is an arithmetic number, because the mean of its divisors is an integer number (22829068080).

Almost surely, 2^{1010134937952} is an apocalyptic number.

1010134937952 is a gapful number since it is divisible by the number (12) 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 1010134937952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643692901760).

1010134937952 is an abundant number, since it is smaller than the sum of its proper divisors (2277250865568).

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

1010134937952 is a wasteful number, since it uses less digits than its factorization.

1010134937952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678785 (or 678774 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 1010134937952 in words is "one trillion, ten billion, one hundred thirty-four million, nine hundred thirty-seven thousand, nine hundred fifty-two".