157753133600157 has 12 divisors (see below), whose sum is σ = 237772839049824. Its totient is φ = 100596201136200.

The previous prime is 157753133600093. The next prime is 157753133600201. The reversal of 157753133600157 is 751006331357751.

157753133600157 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 5 + 3 + 13 + 3 + 600 + 15 + 7 = 666.

It is not a de Polignac number, because 157753133600157 - 2⁶ = 157753133600093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157753133600357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381046216219 + ... + 381046216632.

It is an arithmetic number, because the mean of its divisors is an integer number (19814403254152).

Almost surely, 2^{157753133600157} is an apocalyptic number.

It is an amenable number.

157753133600157 is a deficient number, since it is larger than the sum of its proper divisors (80019705449667).

157753133600157 is a wasteful number, since it uses less digits than its factorization.

157753133600157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762092432880 (or 762092432877 counting only the distinct ones).

The product of its (nonzero) digits is 6945750, while the sum is 54.

The spelling of 157753133600157 in words is "one hundred fifty-seven trillion, seven hundred fifty-three billion, one hundred thirty-three million, six hundred thousand, one hundred fifty-seven".