| Base | Representation |
|---|---|
| bin | 10010000011000… |
| … | …00000111100000 |
| 3 | 101112212100011200 |
| 4 | 21001200013200 |
| 5 | 302223414030 |
| 6 | 23004441200 |
| 7 | 3515532204 |
| oct | 1101400740 |
| 9 | 345770150 |
| 10 | 151388640 |
| 11 | 78500587 |
| 12 | 42849200 |
| 13 | 25496ca0 |
| 14 | 1616ab04 |
| 15 | d455d60 |
| hex | 90601e0 |
151388640 has 144 divisors (see below), whose sum is σ = 556422048. Its totient is φ = 37260288.
The previous prime is 151388623. The next prime is 151388647. The reversal of 151388640 is 46883151.
151388640 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 8 + 8 + 640 = 666.
151388640 is nontrivially palindromic in base 11.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 151388595 and 151388604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (151388647) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14677 + ... + 22763.
It is an arithmetic number, because the mean of its divisors is an integer number (3864042).
Almost surely, 2151388640 is an apocalyptic number.
151388640 is a gapful number since it is divisible by the number (10) 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 151388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278211024).
151388640 is an abundant number, since it is smaller than the sum of its proper divisors (405033408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
151388640 is a wasteful number, since it uses less digits than its factorization.
151388640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8121 (or 8110 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The square root of 151388640 is about 12304.0091027275. The cubic root of 151388640 is about 532.9638621604.
The spelling of 151388640 in words is "one hundred fifty-one million, three hundred eighty-eight thousand, six hundred forty".
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