157134712728 has 320 divisors, whose sum is σ = 469492416000. Its totient is φ = 43812679680.

The previous prime is 157134712697. The next prime is 157134712747. The reversal of 157134712728 is 827217431751.

It is a super-2 number, since 2×157134712728² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 789621573 + ... + 789621771.

It is an arithmetic number, because the mean of its divisors is an integer number (1467163800).

Almost surely, 2^157134712728 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 157134712728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234746208000).

157134712728 is an abundant number, since it is smaller than the sum of its proper divisors (312357703272).

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

157134712728 is a wasteful number, since it uses less digits than its factorization.

157134712728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 475 counting only the distinct ones).

The product of its digits is 658560, while the sum is 48.

The spelling of 157134712728 in words is "one hundred fifty-seven billion, one hundred thirty-four million, seven hundred twelve thousand, seven hundred twenty-eight".