157161445248 has 128 divisors (see below), whose sum is σ = 419347393920. Its totient is φ = 52150962176.

The previous prime is 157161445241. The next prime is 157161445253. The reversal of 157161445248 is 842544161751.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 157161445197 and 157161445206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157161445241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105264790 + ... + 105266282.

It is an arithmetic number, because the mean of its divisors is an integer number (3276151515).

Almost surely, 2^157161445248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157161445248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209673696960).

157161445248 is an abundant number, since it is smaller than the sum of its proper divisors (262185948672).

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

157161445248 is a wasteful number, since it uses less digits than its factorization.

157161445248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2552 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The spelling of 157161445248 in words is "one hundred fifty-seven billion, one hundred sixty-one million, four hundred forty-five thousand, two hundred forty-eight".