107136734733800 has 24 divisors (see below), whose sum is σ = 249092908256550. Its totient is φ = 42854693893440.

The previous prime is 107136734733797. The next prime is 107136734733803. The reversal of 107136734733800 is 8337437631701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107136734733797) and next prime (107136734733803).

It can be written as a sum of positive squares in 3 ways, for example, as 104323875776836 + 2812858956964 = 10213906^2 + 1677158^2 .

It is a super-2 number, since 2×107136734733800² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107136734733803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 267841836635 + ... + 267841837034.

Almost surely, 2^{107136734733800} is an apocalyptic number.

107136734733800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107136734733800 is an abundant number, since it is smaller than the sum of its proper divisors (141956173522750).

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

107136734733800 is a wasteful number, since it uses less digits than its factorization.

107136734733800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535683673685 (or 535683673676 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 53.

The spelling of 107136734733800 in words is "one hundred seven trillion, one hundred thirty-six billion, seven hundred thirty-four million, seven hundred thirty-three thousand, eight hundred".