1075136157792 has 96 divisors (see below), whose sum is σ = 3300856675200. Its totient is φ = 339516676224.

The previous prime is 1075136157791. The next prime is 1075136157793. The reversal of 1075136157792 is 2977516315701.

1075136157792 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 1 + 3 + 61 + 577 + 9 + 2 = 666.

1075136157792 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1075136157791) and next prime (1075136157793).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075136157791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32730178 + ... + 32763009.

It is an arithmetic number, because the mean of its divisors is an integer number (34383923700).

Almost surely, 2^{1075136157792} is an apocalyptic number.

1075136157792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1075136157792 is an abundant number, since it is smaller than the sum of its proper divisors (2225720517408).

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

1075136157792 is a wasteful number, since it uses less digits than its factorization.

1075136157792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65493225 (or 65493211 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 54.

The spelling of 1075136157792 in words is "one trillion, seventy-five billion, one hundred thirty-six million, one hundred fifty-seven thousand, seven hundred ninety-two".