157868136 has 128 divisors (see below), whose sum is σ = 468864000. Its totient is φ = 49097664.

The previous prime is 157868099. The next prime is 157868143. The reversal of 157868136 is 631868751.

157868136 is a `hidden beast` number, since 1 + 578 + 68 + 13 + 6 = 666.

It is a super-3 number, since 3×157868136³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 157868091 and 157868100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213255 + ... + 213993.

It is an arithmetic number, because the mean of its divisors is an integer number (3663000).

Almost surely, 2^157868136 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 157868136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234432000).

157868136 is an abundant number, since it is smaller than the sum of its proper divisors (310995864).

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

157868136 is a wasteful number, since it uses less digits than its factorization.

157868136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 810 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 157868136 is about 12564.5587268316. The cubic root of 157868136 is about 540.4615806468.

The spelling of 157868136 in words is "one hundred fifty-seven million, eight hundred sixty-eight thousand, one hundred thirty-six".