157667313130536 has 256 divisors, whose sum is σ = 468455517573120. Its totient is φ = 43677461504000.

The previous prime is 157667313130403. The next prime is 157667313130541. The reversal of 157667313130536 is 635031313766751.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39882481 + ... + 43657151.

It is an arithmetic number, because the mean of its divisors is an integer number (1829904365520).

Almost surely, 2^{157667313130536} 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 157667313130536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234227758786560).

157667313130536 is an abundant number, since it is smaller than the sum of its proper divisors (310788204442584).

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

157667313130536 is a wasteful number, since it uses less digits than its factorization.

157667313130536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774976 (or 3774972 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 57.

The spelling of 157667313130536 in words is "one hundred fifty-seven trillion, six hundred sixty-seven billion, three hundred thirteen million, one hundred thirty thousand, five hundred thirty-six".