157116422144 has 192 divisors, whose sum is σ = 361945584000. Its totient is φ = 67434577920.

The previous prime is 157116422081. The next prime is 157116422237. The reversal of 157116422144 is 441224611751.

It is a super-2 number, since 2×157116422144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 157116422098 and 157116422107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253822667 + ... + 253823285.

It is an arithmetic number, because the mean of its divisors is an integer number (1885133250).

Almost surely, 2^157116422144 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 157116422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180972792000).

157116422144 is an abundant number, since it is smaller than the sum of its proper divisors (204829161856).

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

157116422144 is a wasteful number, since it uses less digits than its factorization.

157116422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1244 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The spelling of 157116422144 in words is "one hundred fifty-seven billion, one hundred sixteen million, four hundred twenty-two thousand, one hundred forty-four".