157064125317120 has 2560 divisors, whose sum is σ = 671563547740800. Its totient is φ = 34359805476864.

The previous prime is 157064125317103. The next prime is 157064125317163. The reversal of 157064125317120 is 21713521460751.

157064125317120 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 6 + 41 + 2 + 531 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 466065653592 + ... + 466065653928.

Almost surely, 2^{157064125317120} is an apocalyptic number.

157064125317120 is a gapful number since it is divisible by the number (10) 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 157064125317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335781773870400).

157064125317120 is an abundant number, since it is smaller than the sum of its proper divisors (514499422423680).

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

157064125317120 is an equidigital number, since it uses as much as digits as its factorization.

157064125317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

Adding to 157064125317120 its reverse (21713521460751), we get a palindrome (178777646777871).

The spelling of 157064125317120 in words is "one hundred fifty-seven trillion, sixty-four billion, one hundred twenty-five million, three hundred seventeen thousand, one hundred twenty".