| Base | Representation |
|---|---|
| bin | 10010101110111… |
| … | …01010000000000 |
| 3 | 101221200202010112 |
| 4 | 21113131100000 |
| 5 | 310212102224 |
| 6 | 23332050452 |
| 7 | 3615462650 |
| oct | 1127352000 |
| 9 | 357622115 |
| 10 | 157144064 |
| 11 | 80781730 |
| 12 | 44763a28 |
| 13 | 2673086c |
| 14 | 16c28360 |
| 15 | dbe130e |
| hex | 95dd400 |
157144064 has 88 divisors (see below), whose sum is σ = 391844928. Its totient is φ = 61194240.
The previous prime is 157144049. The next prime is 157144067. The reversal of 157144064 is 460441751.
157144064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (88).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a self number, because there is not a number n which added to its sum of digits gives 157144064.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (157144067) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 77852 + ... + 79844.
Almost surely, 2157144064 is an apocalyptic number.
157144064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 157144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195922464).
157144064 is an abundant number, since it is smaller than the sum of its proper divisors (234700864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
157144064 is a wasteful number, since it uses less digits than its factorization.
157144064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2031 (or 2013 counting only the distinct ones).
The product of its (nonzero) digits is 13440, while the sum is 32.
The square root of 157144064 is about 12535.7115474152. The cubic root of 157144064 is about 539.6340272893.
The spelling of 157144064 in words is "one hundred fifty-seven million, one hundred forty-four thousand, sixty-four".
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