| Base | Representation |
|---|---|
| bin | 10001110001110… |
| … | …11100010100000 |
| 3 | 101101122011220100 |
| 4 | 20320323202200 |
| 5 | 301140013124 |
| 6 | 22444342400 |
| 7 | 3460453230 |
| oct | 1070734240 |
| 9 | 341564810 |
| 10 | 149141664 |
| 11 | 77206381 |
| 12 | 41b44a00 |
| 13 | 24b8b309 |
| 14 | 15b43cc0 |
| 15 | d1601c9 |
| hex | 8e3b8a0 |
149141664 has 144 divisors (see below), whose sum is σ = 501621120. Its totient is φ = 41126400.
The previous prime is 149141653. The next prime is 149141687. The reversal of 149141664 is 466141941.
149141664 is a `hidden beast` number, since 1 + 491 + 4 + 166 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (20736) is a multiple of the sum of its prime divisors (2592).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57189 + ... + 59739.
It is an arithmetic number, because the mean of its divisors is an integer number (3483480).
Almost surely, 2149141664 is an apocalyptic number.
149141664 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 149141664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250810560).
149141664 is an abundant number, since it is smaller than the sum of its proper divisors (352479456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149141664 is a wasteful number, since it uses less digits than its factorization.
149141664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2603 (or 2592 counting only the distinct ones).
The product of its digits is 20736, while the sum is 36.
The square root of 149141664 is about 12212.3570206574. The cubic root of 149141664 is about 530.3138807648.
The spelling of 149141664 in words is "one hundred forty-nine million, one hundred forty-one thousand, six hundred sixty-four".
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