157145871744 has 256 divisors, whose sum is σ = 474232190400. Its totient is φ = 51210731520.

The previous prime is 157145871733. The next prime is 157145871803. The reversal of 157145871744 is 447178541751.

157145871744 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 4 + 587 + 17 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57330214 + ... + 57332954.

Almost surely, 2^157145871744 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 157145871744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237116095200).

157145871744 is an abundant number, since it is smaller than the sum of its proper divisors (317086318656).

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

157145871744 is a wasteful number, since it uses less digits than its factorization.

157145871744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3112 counting only the distinct ones).

The product of its digits is 4390400, while the sum is 54.

The spelling of 157145871744 in words is "one hundred fifty-seven billion, one hundred forty-five million, eight hundred seventy-one thousand, seven hundred forty-four".